13413610577400 has 192 divisors, whose sum is σ = 46825695820800. Its totient is φ = 3146888064000.

The previous prime is 13413610577383. The next prime is 13413610577407. The reversal of 13413610577400 is 477501631431.

It is a super-2 number, since 2×13413610577400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413610577407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32575485 + ... + 32984684.

It is an arithmetic number, because the mean of its divisors is an integer number (243883832400).

Almost surely, 2^{13413610577400} is an apocalyptic number.

13413610577400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413610577400 is an abundant number, since it is smaller than the sum of its proper divisors (33412085243400).

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

13413610577400 is a wasteful number, since it uses less digits than its factorization.

13413610577400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65560230 (or 65560221 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13413610577400 in words is "thirteen trillion, four hundred thirteen billion, six hundred ten million, five hundred seventy-seven thousand, four hundred".