13042234520400 has 180 divisors, whose sum is σ = 43674065250368. Its totient is φ = 3326714730240.

The previous prime is 13042234520347. The next prime is 13042234520407. The reversal of 13042234520400 is 402543224031.

It is a super-2 number, since 2×13042234520400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042234520407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9637912 + ... + 10907511.

Almost surely, 2^{13042234520400} is an apocalyptic number.

13042234520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13042234520400 is an abundant number, since it is smaller than the sum of its proper divisors (30631830729968).

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

13042234520400 is a wasteful number, since it uses less digits than its factorization.

13042234520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20545490 (or 20545456 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 13042234520400 its reverse (402543224031), we get a palindrome (13444777744431).

The spelling of 13042234520400 in words is "thirteen trillion, forty-two billion, two hundred thirty-four million, five hundred twenty thousand, four hundred".