12346405540440 has 64 divisors (see below), whose sum is σ = 37202385058560. Its totient is φ = 3277870949760.

The previous prime is 12346405540421. The next prime is 12346405540457. The reversal of 12346405540440 is 4404550464321.

It is a junction number, because it is equal to n+sod(n) for n = 12346405540392 and 12346405540401.

It is a congruent number.

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, 226595476 + ... + 226649955.

It is an arithmetic number, because the mean of its divisors is an integer number (581287266540).

Almost surely, 2^{12346405540440} is an apocalyptic number.

12346405540440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12346405540440 is an abundant number, since it is smaller than the sum of its proper divisors (24855979518120).

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

12346405540440 is a wasteful number, since it uses less digits than its factorization.

12346405540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453245672 (or 453245668 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 12346405540440 in words is "twelve trillion, three hundred forty-six billion, four hundred five million, five hundred forty thousand, four hundred forty".