51156351444040 has 256 divisors, whose sum is σ = 120217027392000. Its totient is φ = 19568022405120.

The previous prime is 51156351444013. The next prime is 51156351444041. The reversal of 51156351444040 is 4044415365115.

It is a super-2 number, since 2×51156351444040² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51156351444041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64186136922 + ... + 64186137718.

It is an arithmetic number, because the mean of its divisors is an integer number (469597763250).

Almost surely, 2^{51156351444040} 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 51156351444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60108513696000).

51156351444040 is an abundant number, since it is smaller than the sum of its proper divisors (69060675947960).

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

51156351444040 is a wasteful number, since it uses less digits than its factorization.

51156351444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 51156351444040 in words is "fifty-one trillion, one hundred fifty-six billion, three hundred fifty-one million, four hundred forty-four thousand, forty".