51316442240 has 128 divisors (see below), whose sum is σ = 141098803200. Its totient is φ = 17481904128.

The previous prime is 51316442141. The next prime is 51316442251. The reversal of 51316442240 is 4224461315.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 51316442197 and 51316442206.

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, 666881 + ... + 739839.

It is an arithmetic number, because the mean of its divisors is an integer number (1102334400).

Almost surely, 2^51316442240 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 51316442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70549401600).

51316442240 is an abundant number, since it is smaller than the sum of its proper divisors (89782360960).

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

51316442240 is a wasteful number, since it uses less digits than its factorization.

51316442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73142 (or 73130 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 51316442240 in words is "fifty-one billion, three hundred sixteen million, four hundred forty-two thousand, two hundred forty".