13601433124400 has 120 divisors (see below), whose sum is σ = 35650032918528. Its totient is φ = 4945710240000.

The previous prime is 13601433124393. The next prime is 13601433124403. The reversal of 13601433124400 is 442133410631.

It is a super-4 number, since 4×13601433124400⁴ (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (13601433124403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94048145 + ... + 94192655.

Almost surely, 2^{13601433124400} is an apocalyptic number.

13601433124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13601433124400 is an abundant number, since it is smaller than the sum of its proper divisors (22048599794128).

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

13601433124400 is a wasteful number, since it uses less digits than its factorization.

13601433124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165931 (or 165920 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 13601433124400 in words is "thirteen trillion, six hundred one billion, four hundred thirty-three million, one hundred twenty-four thousand, four hundred".