403138644624 has 105 divisors (see below), whose sum is σ = 1171285197043. Its totient is φ = 134356690656.

The previous prime is 403138644607. The next prime is 403138644661. The reversal of 403138644624 is 426446831304.

The square root of 403138644624 is 634932.

It is a perfect power (a square), and thus also a powerful number.

403138644624 is a `hidden beast` number, since 4 + 0 + 3 + 13 + 8 + 6 + 4 + 4 + 624 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 403138644624.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 68569717 + ... + 68575595.

Almost surely, 2^403138644624 is an apocalyptic number.

403138644624 is the 634932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403138644624

403138644624 is an abundant number, since it is smaller than the sum of its proper divisors (768146552419).

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

403138644624 is an frugal number, since it uses more digits than its factorization.

403138644624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11784 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 403138644624 in words is "four hundred three billion, one hundred thirty-eight million, six hundred forty-four thousand, six hundred twenty-four".