51414020450400 has 72 divisors (see below), whose sum is σ = 167352636573864. Its totient is φ = 13710405452800.

The previous prime is 51414020450383. The next prime is 51414020450447. The reversal of 51414020450400 is 405402041415.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10711251861 + ... + 10711256660.

It is an arithmetic number, because the mean of its divisors is an integer number (2324342174637).

Almost surely, 2^{51414020450400} is an apocalyptic number.

51414020450400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51414020450400 is an abundant number, since it is smaller than the sum of its proper divisors (115938616123464).

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

51414020450400 is a wasteful number, since it uses less digits than its factorization.

51414020450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21422508544 (or 21422508531 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 51414020450400 its reverse (405402041415), we get a palindrome (51819422491815).

The spelling of 51414020450400 in words is "fifty-one trillion, four hundred fourteen billion, twenty million, four hundred fifty thousand, four hundred".