10040627520 has 672 divisors, whose sum is σ = 45342535680. Its totient is φ = 1975726080.

The previous prime is 10040627503. The next prime is 10040627591. The reversal of 10040627520 is 2572604001.

10040627520 is a `hidden beast` number, since 10 + 0 + 4 + 0 + 627 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 4212249 + ... + 4214631.

Almost surely, 2^10040627520 is an apocalyptic number.

10040627520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671267840).

10040627520 is an abundant number, since it is smaller than the sum of its proper divisors (35301908160).

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

10040627520 is a wasteful number, since it uses less digits than its factorization.

10040627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10040627520 in words is "ten billion, forty million, six hundred twenty-seven thousand, five hundred twenty".