10408568640 has 224 divisors, whose sum is σ = 34303167360. Its totient is φ = 2670796800.

The previous prime is 10408568633. The next prime is 10408568663. The reversal of 10408568640 is 4686580401.

It is a super-2 number, since 2×10408568640² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10408568592 and 10408568601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12833835 + ... + 12834645.

It is an arithmetic number, because the mean of its divisors is an integer number (153139140).

Almost surely, 2^10408568640 is an apocalyptic number.

10408568640 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 10408568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151583680).

10408568640 is an abundant number, since it is smaller than the sum of its proper divisors (23894598720).

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

10408568640 is a wasteful number, since it uses less digits than its factorization.

10408568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 10408568640 in words is "ten billion, four hundred eight million, five hundred sixty-eight thousand, six hundred forty".