10405618640 has 40 divisors (see below), whose sum is σ = 24209783808. Its totient is φ = 4159370880.

The previous prime is 10405618637. The next prime is 10405618651. The reversal of 10405618640 is 4681650401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10405618640² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10405618640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73469 + ... + 161891.

Almost surely, 2^10405618640 is an apocalyptic number.

10405618640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405618640 is an abundant number, since it is smaller than the sum of its proper divisors (13804165168).

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

10405618640 is a wasteful number, since it uses less digits than its factorization.

10405618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89907 (or 89901 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 10405618640 in words is "ten billion, four hundred five million, six hundred eighteen thousand, six hundred forty".