41013201410400 has 72 divisors (see below), whose sum is σ = 133497970598664. Its totient is φ = 10936853708800.

The previous prime is 41013201410383. The next prime is 41013201410479. The reversal of 41013201410400 is 401410231014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8544414561 + ... + 8544419360.

It is an arithmetic number, because the mean of its divisors is an integer number (1854138480537).

Almost surely, 2^{41013201410400} is an apocalyptic number.

41013201410400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41013201410400 is an abundant number, since it is smaller than the sum of its proper divisors (92484769188264).

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

41013201410400 is a wasteful number, since it uses less digits than its factorization.

41013201410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17088833944 (or 17088833931 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41013201410400 its reverse (401410231014), we get a palindrome (41414611641414).

The spelling of 41013201410400 in words is "forty-one trillion, thirteen billion, two hundred one million, four hundred ten thousand, four hundred".