10642414058640 has 480 divisors, whose sum is σ = 44709786890496. Its totient is φ = 2208621219840.

The previous prime is 10642414058593. The next prime is 10642414058657. The reversal of 10642414058640 is 4685041424601.

10642414058640 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 24 + 1 + 4 + 0 + 586 + 40 = 666.

10642414058640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10642414058640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2665327 + ... + 5328113.

Almost surely, 2^{10642414058640} is an apocalyptic number.

10642414058640 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 10642414058640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22354893445248).

10642414058640 is an abundant number, since it is smaller than the sum of its proper divisors (34067372831856).

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

10642414058640 is a wasteful number, since it uses less digits than its factorization.

10642414058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662887 (or 2662878 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 10642414058640 in words is "ten trillion, six hundred forty-two billion, four hundred fourteen million, fifty-eight thousand, six hundred forty".