456110055040 has 64 divisors (see below), whose sum is σ = 1092167813160. Its totient is φ = 182146240512.

The previous prime is 456110055013. The next prime is 456110055077. The reversal of 456110055040 is 40550011654.

It can be written as a sum of positive squares in 4 ways, for example, as 178279861824 + 277830193216 = 422232^2 + 527096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 456110054993 and 456110055011.

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, 188979 + ... + 973618.

Almost surely, 2^456110055040 is an apocalyptic number.

456110055040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456110055040 is an abundant number, since it is smaller than the sum of its proper divisors (636057758120).

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

456110055040 is a wasteful number, since it uses less digits than its factorization.

456110055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163229 (or 1163217 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 456110055040 its reverse (40550011654), we get a palindrome (496660066694).

The spelling of 456110055040 in words is "four hundred fifty-six billion, one hundred ten million, fifty-five thousand, forty".