508225324400640 has 1440 divisors, whose sum is σ = 2199754046730240. Its totient is φ = 105449914368000.

The previous prime is 508225324400627. The next prime is 508225324400663. The reversal of 508225324400640 is 46004423522805.

It is a happy number.

508225324400640 is a `hidden beast` number, since 5 + 0 + 8 + 225 + 324 + 40 + 0 + 64 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40818026415 + ... + 40818038865.

It is an arithmetic number, because the mean of its divisors is an integer number (1527606976896).

Almost surely, 2^{508225324400640} 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 508225324400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099877023365120).

508225324400640 is an abundant number, since it is smaller than the sum of its proper divisors (1691528722329600).

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

508225324400640 is a wasteful number, since it uses less digits than its factorization.

508225324400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13227 (or 13198 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 508225324400640 in words is "five hundred eight trillion, two hundred twenty-five billion, three hundred twenty-four million, four hundred thousand, six hundred forty".