51233345440 has 96 divisors (see below), whose sum is σ = 123510562560. Its totient is φ = 20078822400.

The previous prime is 51233345393. The next prime is 51233345447. The reversal of 51233345440 is 4454333215.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 51233345396 and 51233345405.

It is not an unprimeable number, because it can be changed into a prime (51233345447) 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 15 ways as a sum of consecutive naturals, for example, 1640370 + ... + 1671310.

It is an arithmetic number, because the mean of its divisors is an integer number (1286568360).

Almost surely, 2^51233345440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51233345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61755281280).

51233345440 is an abundant number, since it is smaller than the sum of its proper divisors (72277217120).

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

51233345440 is a wasteful number, since it uses less digits than its factorization.

51233345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31166 (or 31158 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 51233345440 its reverse (4454333215), we get a palindrome (55687678655).

The spelling of 51233345440 in words is "fifty-one billion, two hundred thirty-three million, three hundred forty-five thousand, four hundred forty".