51730642405440 has 1344 divisors, whose sum is σ = 201422422656000. Its totient is φ = 12587325972480.

The previous prime is 51730642405439. The next prime is 51730642405523. The reversal of 51730642405440 is 4450424603715.

51730642405440 is a `hidden beast` number, since 5 + 1 + 7 + 3 + 0 + 64 + 2 + 40 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21037266931 + ... + 21037269389.

It is an arithmetic number, because the mean of its divisors is an integer number (149867874000).

Almost surely, 2^{51730642405440} 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 51730642405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100711211328000).

51730642405440 is an abundant number, since it is smaller than the sum of its proper divisors (149691780250560).

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

51730642405440 is a wasteful number, since it uses less digits than its factorization.

51730642405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 51730642405440 in words is "fifty-one trillion, seven hundred thirty billion, six hundred forty-two million, four hundred five thousand, four hundred forty".