251121413400 has 192 divisors, whose sum is σ = 914573963520. Its totient is φ = 56194982400.

The previous prime is 251121413377. The next prime is 251121413401. The reversal of 251121413400 is 4314121152.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251121413401) 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, 1377612 + ... + 1549211.

It is an arithmetic number, because the mean of its divisors is an integer number (4763406060).

Almost surely, 2^251121413400 is an apocalyptic number.

251121413400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251121413400 is an abundant number, since it is smaller than the sum of its proper divisors (663452550120).

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

251121413400 is a wasteful number, since it uses less digits than its factorization.

251121413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926866 (or 2926857 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 251121413400 its reverse (4314121152), we get a palindrome (255435534552).

The spelling of 251121413400 in words is "two hundred fifty-one billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred".