41407640601600 has 2112 divisors, whose sum is σ = 180232955352576. Its totient is φ = 8135607582720.

The previous prime is 41407640601599. The next prime is 41407640601619. The reversal of 41407640601600 is 610604670414.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11524529404 + ... + 11524532996.

Almost surely, 2^{41407640601600} is an apocalyptic number.

41407640601600 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 41407640601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90116477676288).

41407640601600 is an abundant number, since it is smaller than the sum of its proper divisors (138825314750976).

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

41407640601600 is a wasteful number, since it uses less digits than its factorization.

41407640601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 41407640601600 in words is "forty-one trillion, four hundred seven billion, six hundred forty million, six hundred one thousand, six hundred".