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41201432400560 = 245631278158441
BaseRepresentation
bin10010101111000111101001…
…01111100001001010110000
312101212211002122221121110112
421113203310233201022300
520400021013143304220
6223343402102120452
711451463621666505
oct1127436457411260
9171784078847415
1041201432400560
111214547a51a983
124755144420128
1319cb380866763
14a26234d4b4ac
154b6b2554c5c5
hex2578f4be12b0

41201432400560 has 40 divisors (see below), whose sum is σ = 95794859543136. Its totient is φ = 16480309870080.

The previous prime is 41201432400493. The next prime is 41201432400589. The reversal of 41201432400560 is 6500423410214.

41201432400560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970940 + ... + 9129380.

Almost surely, 241201432400560 is an apocalyptic number.

41201432400560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41201432400560 is an abundant number, since it is smaller than the sum of its proper divisors (54593427142576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41201432400560 is a wasteful number, since it uses less digits than its factorization.

41201432400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221581 (or 8221575 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 41201432400560 its reverse (6500423410214), we get a palindrome (47701855810774).

The spelling of 41201432400560 in words is "forty-one trillion, two hundred one billion, four hundred thirty-two million, four hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 63127 126254 252508 315635 505016 631270 1010032 1262540 2525080 5050160 8158441 16316882 32633764 40792205 65267528 81584410 130535056 163168820 326337640 652675280 515017905007 1030035810014 2060071620028 2575089525035 4120143240056 5150179050070 8240286480112 10300358100140 20600716200280 41201432400560