10012638240 has 864 divisors, whose sum is σ = 42057864576. Its totient is φ = 2143272960.

The previous prime is 10012638203. The next prime is 10012638263. The reversal of 10012638240 is 4283621001.

10012638240 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 638 + 24 + 0 = 666.

It is a super-2 number, since 2×10012638240² (a number of 21 digits) contains 22 as substring.

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, 97210029 + ... + 97210131.

It is an arithmetic number, because the mean of its divisors is an integer number (48678084).

Almost surely, 2^10012638240 is an apocalyptic number.

10012638240 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 10012638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028932288).

10012638240 is an abundant number, since it is smaller than the sum of its proper divisors (32045226336).

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

10012638240 is a wasteful number, since it uses less digits than its factorization.

10012638240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10012638240 in words is "ten billion, twelve million, six hundred thirty-eight thousand, two hundred forty".