12906405440 has 56 divisors (see below), whose sum is σ = 32541237432. Its totient is φ = 4858880000.

The previous prime is 12906405419. The next prime is 12906405461. The reversal of 12906405440 is 4450460921.

It is an interprime number because it is at equal distance from previous prime (12906405419) and next prime (12906405461).

It can be written as a sum of positive squares in 4 ways, for example, as 2043763264 + 10862642176 = 45208^2 + 104224^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12906405440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1180811 + ... + 1191690.

Almost surely, 2^12906405440 is an apocalyptic number.

12906405440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12906405440 is an abundant number, since it is smaller than the sum of its proper divisors (19634831992).

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

12906405440 is a wasteful number, since it uses less digits than its factorization.

12906405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372535 (or 2372525 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 12906405440 in words is "twelve billion, nine hundred six million, four hundred five thousand, four hundred forty".