4013509600400 has 30 divisors (see below), whose sum is σ = 9642456815922. Its totient is φ = 1605403840000.

The previous prime is 4013509600363. The next prime is 4013509600409. The reversal of 4013509600400 is 40069053104.

It can be written as a sum of positive squares in 3 ways, for example, as 500793998224 + 3512715602176 = 707668^2 + 1874224^2 .

It is a super-2 number, since 2×4013509600400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013509600409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5016886601 + ... + 5016887400.

Almost surely, 2^{4013509600400} is an apocalyptic number.

4013509600400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013509600400 is an abundant number, since it is smaller than the sum of its proper divisors (5628947215522).

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

4013509600400 is a wasteful number, since it uses less digits than its factorization.

4013509600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10033774019 (or 10033774008 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 4013509600400 in words is "four trillion, thirteen billion, five hundred nine million, six hundred thousand, four hundred".