51440413000 has 64 divisors (see below), whose sum is σ = 120612960000. Its totient is φ = 20534731200.

The previous prime is 51440412973. The next prime is 51440413039. The reversal of 51440413000 is 31404415.

51440413000 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 2×51440413000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447457 + ... + 550543.

It is an arithmetic number, because the mean of its divisors is an integer number (1884577500).

Almost surely, 2^51440413000 is an apocalyptic number.

51440413000 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 51440413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60306480000).

51440413000 is an abundant number, since it is smaller than the sum of its proper divisors (69172547000).

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

51440413000 is a wasteful number, since it uses less digits than its factorization.

51440413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103607 (or 103593 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 51440413000 its reverse (31404415), we get a palindrome (51471817415).

The spelling of 51440413000 in words is "fifty-one billion, four hundred forty million, four hundred thirteen thousand".