10417904640 has 1408 divisors, whose sum is σ = 47540183040. Its totient is φ = 2123366400.

The previous prime is 10417904617. The next prime is 10417904677. The reversal of 10417904640 is 4640971401.

10417904640 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 7 + 9 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10417904595 and 10417904604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336061425 + ... + 336061455.

Almost surely, 2^10417904640 is an apocalyptic number.

10417904640 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 10417904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23770091520).

10417904640 is an abundant number, since it is smaller than the sum of its proper divisors (37122278400).

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

10417904640 is a wasteful number, since it uses less digits than its factorization.

10417904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10417904640 in words is "ten billion, four hundred seventeen million, nine hundred four thousand, six hundred forty".