41271931680 has 576 divisors, whose sum is σ = 156603912192. Its totient is φ = 9103933440.

The previous prime is 41271931669. The next prime is 41271931709. The reversal of 41271931680 is 8613917214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122468472 + ... + 122468808.

It is an arithmetic number, because the mean of its divisors is an integer number (271881792).

Almost surely, 2^41271931680 is an apocalyptic number.

41271931680 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 41271931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78301956096).

41271931680 is an abundant number, since it is smaller than the sum of its proper divisors (115331980512).

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

41271931680 is a wasteful number, since it uses less digits than its factorization.

41271931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 41271931680 in words is "forty-one billion, two hundred seventy-one million, nine hundred thirty-one thousand, six hundred eighty".