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41285713920 = 21735112383
BaseRepresentation
bin100110011100110100…
…100000000000000000
310221120021100120102120
4212130310200000000
51134023120321140
630544424044240
72661045530613
oct463464400000
9127507316376
1041285713920
1116566788a30
128002603680
133b7c557b29
141dd925017a
1511198041d0
hex99cd20000

41285713920 has 576 divisors, whose sum is σ = 152202322944. Its totient is φ = 9458155520.

The previous prime is 41285713891. The next prime is 41285713921. The reversal of 41285713920 is 2931758214.

It is not an unprimeable number, because it can be changed into a prime (41285713921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497418199 + ... + 497418281.

It is an arithmetic number, because the mean of its divisors is an integer number (264240144).

Almost surely, 241285713920 is an apocalyptic number.

41285713920 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 41285713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76101161472).

41285713920 is an abundant number, since it is smaller than the sum of its proper divisors (110916609024).

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

41285713920 is an equidigital number, since it uses as much as digits as its factorization.

41285713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 41285713920 in words is "forty-one billion, two hundred eighty-five million, seven hundred thirteen thousand, nine hundred twenty".