51413034040 has 256 divisors, whose sum is σ = 134033356800. Its totient is φ = 17624678400.

The previous prime is 51413034031. The next prime is 51413034053. The reversal of 51413034040 is 4043031415.

51413034040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51413033996 and 51413034014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37609437 + ... + 37610803.

It is an arithmetic number, because the mean of its divisors is an integer number (523567800).

Almost surely, 2^51413034040 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 51413034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67016678400).

51413034040 is an abundant number, since it is smaller than the sum of its proper divisors (82620322760).

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

51413034040 is a wasteful number, since it uses less digits than its factorization.

51413034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 51413034040 its reverse (4043031415), we get a palindrome (55456065455).

The spelling of 51413034040 in words is "fifty-one billion, four hundred thirteen million, thirty-four thousand, forty".