10040824463076 has 243 divisors, whose sum is σ = 28619571950697. Its totient is φ = 2965927536000.

The previous prime is 10040824463009. The next prime is 10040824463099. The reversal of 10040824463076 is 67036442804001.

The square root of 10040824463076 is 3168726.

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

10040824463076 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 8 + 2 + 4 + 4 + 630 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 483823189476 + 9557001273600 = 695574^2 + 3091440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8574571971 + ... + 8574573141.

Almost surely, 2^{10040824463076} is an apocalyptic number.

10040824463076 is the 3168726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040824463076

10040824463076 is an abundant number, since it is smaller than the sum of its proper divisors (18578747487621).

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

10040824463076 is a wasteful number, since it uses less digits than its factorization.

10040824463076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 10040824463076 in words is "ten trillion, forty billion, eight hundred twenty-four million, four hundred sixty-three thousand, seventy-six".