51401958400 has 297 divisors, whose sum is σ = 139247058321. Its totient is φ = 18805063680.

The previous prime is 51401958371. The next prime is 51401958437. The reversal of 51401958400 is 485910415.

The square root of 51401958400 is 226720.

It is a perfect power (a square), and thus also a powerful number.

51401958400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 41459475456 + 9942482944 = 203616^2 + 99712^2 .

It is a super-2 number, since 2×51401958400² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51401958400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 471577546 + ... + 471577654.

Almost surely, 2^51401958400 is an apocalyptic number.

51401958400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51401958400 is the 226720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51401958400

51401958400 is an abundant number, since it is smaller than the sum of its proper divisors (87845099921).

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

51401958400 is a wasteful number, since it uses less digits than its factorization.

51401958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 51401958400 in words is "fifty-one billion, four hundred one million, nine hundred fifty-eight thousand, four hundred".