10407468290 has 32 divisors (see below), whose sum is σ = 19220238576. Its totient is φ = 4055127040.

The previous prime is 10407468277. The next prime is 10407468317. The reversal of 10407468290 is 9286470401.

It is a Cunningham number, because it is equal to 102017²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 3746786521 + 6660681769 = 61211^2 + 81613^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248294 + ... + 287166.

Almost surely, 2^10407468290 is an apocalyptic number.

10407468290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10407468290 is a deficient number, since it is larger than the sum of its proper divisors (8812770286).

10407468290 is a wasteful number, since it uses less digits than its factorization.

10407468290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39574.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 10407468290 in words is "ten billion, four hundred seven million, four hundred sixty-eight thousand, two hundred ninety".