10407988368 has 60 divisors (see below), whose sum is σ = 29157187020. Its totient is φ = 3465842688.

The previous prime is 10407988361. The next prime is 10407988373. The reversal of 10407988368 is 86388970401.

10407988368 is a `hidden beast` number, since 10 + 407 + 98 + 83 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2331730944 + 8076257424 = 48288^2 + 89868^2 .

It is not an unprimeable number, because it can be changed into a prime (10407988361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109480 + ... + 181112.

It is an arithmetic number, because the mean of its divisors is an integer number (485953117).

Almost surely, 2^10407988368 is an apocalyptic number.

10407988368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10407988368 is an abundant number, since it is smaller than the sum of its proper divisors (18749198652).

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

10407988368 is a wasteful number, since it uses less digits than its factorization.

10407988368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72656 (or 72647 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10407988368 in words is "ten billion, four hundred seven million, nine hundred eighty-eight thousand, three hundred sixty-eight".