10040607360 has 768 divisors, whose sum is σ = 42465945600. Its totient is φ = 2136637440.

The previous prime is 10040607349. The next prime is 10040607373. The reversal of 10040607360 is 6370604001.

10040607360 is a `hidden beast` number, since 10 + 0 + 40 + 607 + 3 + 6 + 0 = 666.

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, 36247542 + ... + 36247818.

It is an arithmetic number, because the mean of its divisors is an integer number (55294200).

Almost surely, 2^10040607360 is an apocalyptic number.

10040607360 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 10040607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21232972800).

10040607360 is an abundant number, since it is smaller than the sum of its proper divisors (32425338240).

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

10040607360 is a wasteful number, since it uses less digits than its factorization.

10040607360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10040607360 in words is "ten billion, forty million, six hundred seven thousand, three hundred sixty".