51440350400 has 84 divisors (see below), whose sum is σ = 127829035680. Its totient is φ = 20372352000.

The previous prime is 51440350393. The next prime is 51440350453. The reversal of 51440350400 is 405304415.

51440350400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51440350400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51440350400.

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, 2441 + ... + 320759.

Almost surely, 2^51440350400 is an apocalyptic number.

51440350400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51440350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63914517840).

51440350400 is an abundant number, since it is smaller than the sum of its proper divisors (76388685280).

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

51440350400 is a wasteful number, since it uses less digits than its factorization.

51440350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318442 (or 318427 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 51440350400 its reverse (405304415), we get a palindrome (51845654815).

The spelling of 51440350400 in words is "fifty-one billion, four hundred forty million, three hundred fifty thousand, four hundred".