456677174040 has 128 divisors (see below), whose sum is σ = 1417522464000. Its totient is φ = 117560636928.

The previous prime is 456677174021. The next prime is 456677174053. The reversal of 456677174040 is 40471776654.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36391047 + ... + 36403593.

It is an arithmetic number, because the mean of its divisors is an integer number (11074394250).

Almost surely, 2^456677174040 is an apocalyptic number.

456677174040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456677174040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708761232000).

456677174040 is an abundant number, since it is smaller than the sum of its proper divisors (960845289960).

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

456677174040 is a wasteful number, since it uses less digits than its factorization.

456677174040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23049 (or 23045 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 456677174040 in words is "four hundred fifty-six billion, six hundred seventy-seven million, one hundred seventy-four thousand, forty".