10416371684040 has 576 divisors, whose sum is σ = 41742190254960. Its totient is φ = 2238390927360.

The previous prime is 10416371683997. The next prime is 10416371684119. The reversal of 10416371684040 is 4048617361401.

10416371684040 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 637 + 1 + 6 + 8 + 4 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9554738473476 + 861633210564 = 3091074^2 + 928242^2 .

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 143 ways as a sum of consecutive naturals, for example, 282168624 + ... + 282205536.

Almost surely, 2^{10416371684040} is an apocalyptic number.

10416371684040 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 10416371684040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871095127480).

10416371684040 is an abundant number, since it is smaller than the sum of its proper divisors (31325818570920).

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

10416371684040 is a wasteful number, since it uses less digits than its factorization.

10416371684040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37902 (or 37888 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10416371684040 in words is "ten trillion, four hundred sixteen billion, three hundred seventy-one million, six hundred eighty-four thousand, forty".