41397506304 has 288 divisors, whose sum is σ = 137961169920. Its totient is φ = 10705920000.

The previous prime is 41397506279. The next prime is 41397506309. The reversal of 41397506304 is 40360579314.

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

It is not an unprimeable number, because it can be changed into a prime (41397506309) 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, 14841742 + ... + 14844530.

It is an arithmetic number, because the mean of its divisors is an integer number (479031840).

Almost surely, 2^41397506304 is an apocalyptic number.

41397506304 is a gapful number since it is divisible by the number (44) 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 41397506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68980584960).

41397506304 is an abundant number, since it is smaller than the sum of its proper divisors (96563663616).

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

41397506304 is a wasteful number, since it uses less digits than its factorization.

41397506304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 41397506304 in words is "forty-one billion, three hundred ninety-seven million, five hundred six thousand, three hundred four".