10418012640 has 576 divisors, whose sum is σ = 42664527360. Its totient is φ = 2351462400.

The previous prime is 10418012639. The next prime is 10418012651. The reversal of 10418012640 is 4621081401.

It is a happy number.

10418012640 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 8 + 0 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 27487971 + ... + 27488349.

It is an arithmetic number, because the mean of its divisors is an integer number (74070360).

Almost surely, 2^10418012640 is an apocalyptic number.

10418012640 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 10418012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332263680).

10418012640 is an abundant number, since it is smaller than the sum of its proper divisors (32246514720).

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

10418012640 is a wasteful number, since it uses less digits than its factorization.

10418012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10418012640 in words is "ten billion, four hundred eighteen million, twelve thousand, six hundred forty".