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41403440000 = 27541341971
BaseRepresentation
bin100110100011110101…
…100101101110000000
310221212110212200020202
4212203311211232000
51134243240040000
631004231224332
72664005301416
oct464365455600
9127773780222
1041403440000
111661718730a
128035b180a8
133b9aa66a30
14200ab372b6
151124d0add5
hex9a3d65b80

41403440000 has 320 divisors, whose sum is σ = 113824252080. Its totient is φ = 14899200000.

The previous prime is 41403439981. The next prime is 41403440027. The reversal of 41403440000 is 4430414.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42639515 + ... + 42640485.

Almost surely, 241403440000 is an apocalyptic number.

41403440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41403440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56912126040).

41403440000 is an abundant number, since it is smaller than the sum of its proper divisors (72420812080).

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

41403440000 is an equidigital number, since it uses as much as digits as its factorization.

41403440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41403440000 its reverse (4430414), we get a palindrome (41407870414).

The spelling of 41403440000 in words is "forty-one billion, four hundred three million, four hundred forty thousand".