508172797440 has 1440 divisors, whose sum is σ = 2297791431936. Its totient is φ = 104569159680.

The previous prime is 508172797411. The next prime is 508172797463. The reversal of 508172797440 is 44797271805.

508172797440 is a `hidden beast` number, since 50 + 81 + 7 + 2 + 79 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4933716429 + ... + 4933716531.

Almost surely, 2^508172797440 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 508172797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148895715968).

508172797440 is an abundant number, since it is smaller than the sum of its proper divisors (1789618634496).

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

508172797440 is an equidigital number, since it uses as much as digits as its factorization.

508172797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 508172797440 in words is "five hundred eight billion, one hundred seventy-two million, seven hundred ninety-seven thousand, four hundred forty".