51746695440 has 480 divisors, whose sum is σ = 186036092928. Its totient is φ = 11871974400.

The previous prime is 51746695411. The next prime is 51746695447. The reversal of 51746695440 is 4459664715.

It is a happy number.

It is a Cunningham number, because it is equal to 227479²-1.

It is not an unprimeable number, because it can be changed into a prime (51746695447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42310669 + ... + 42311891.

Almost surely, 2^51746695440 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 51746695440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93018046464).

51746695440 is an abundant number, since it is smaller than the sum of its proper divisors (134289397488).

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

51746695440 is a wasteful number, since it uses less digits than its factorization.

51746695440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 51746695440 in words is "fifty-one billion, seven hundred forty-six million, six hundred ninety-five thousand, four hundred forty".