51356941440 has 256 divisors, whose sum is σ = 187639200000. Its totient is φ = 11704025088.

The previous prime is 51356941417. The next prime is 51356941457. The reversal of 51356941440 is 4414965315.

It is a happy number.

51356941440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 51356941392 and 51356941401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4685086 + ... + 4696034.

It is an arithmetic number, because the mean of its divisors is an integer number (732965625).

Almost surely, 2^51356941440 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 51356941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93819600000).

51356941440 is an abundant number, since it is smaller than the sum of its proper divisors (136282258560).

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

51356941440 is a wasteful number, since it uses less digits than its factorization.

51356941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 51356941440 in words is "fifty-one billion, three hundred fifty-six million, nine hundred forty-one thousand, four hundred forty".