51414233454400 has 42 divisors (see below), whose sum is σ = 126511148197670. Its totient is φ = 20565693381120.

The previous prime is 51414233454383. The next prime is 51414233454401. The reversal of 51414233454400 is 445433241415.

51414233454400 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 3 ways, for example, as 29765910784 + 51384467543616 = 172528^2 + 7168296^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51414233454401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16066946355 + ... + 16066949554.

Almost surely, 2^{51414233454400} is an apocalyptic number.

51414233454400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51414233454400 is an abundant number, since it is smaller than the sum of its proper divisors (75096914743270).

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

51414233454400 is a wasteful number, since it uses less digits than its factorization.

51414233454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32133895931 (or 32133895916 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 51414233454400 its reverse (445433241415), we get a palindrome (51859666695815).

The spelling of 51414233454400 in words is "fifty-one trillion, four hundred fourteen billion, two hundred thirty-three million, four hundred fifty-four thousand, four hundred".