456356090040 has 32 divisors (see below), whose sum is σ = 1369068270480. Its totient is φ = 121694957312.

The previous prime is 456356090033. The next prime is 456356090051. The reversal of 456356090040 is 40090653654.

It is a junction number, because it is equal to n+sod(n) for n = 456356089974 and 456356090001.

It is a congruent number.

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, 1901483589 + ... + 1901483828.

Almost surely, 2^456356090040 is an apocalyptic number.

456356090040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456356090040 is an abundant number, since it is smaller than the sum of its proper divisors (912712180440).

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

456356090040 is a wasteful number, since it uses less digits than its factorization.

456356090040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802967431 (or 3802967427 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 456356090040 in words is "four hundred fifty-six billion, three hundred fifty-six million, ninety thousand, forty".