462408500040 has 64 divisors (see below), whose sum is σ = 1413399585600. Its totient is φ = 120982348032.

The previous prime is 462408500011. The next prime is 462408500041. The reversal of 462408500040 is 40005804264.

It is a junction number, because it is equal to n+sod(n) for n = 462408499974 and 462408500010.

It is not an unprimeable number, because it can be changed into a prime (462408500041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36346510 + ... + 36359229.

It is an arithmetic number, because the mean of its divisors is an integer number (22084368525).

Almost surely, 2^462408500040 is an apocalyptic number.

462408500040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462408500040 is an abundant number, since it is smaller than the sum of its proper divisors (950991085560).

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

462408500040 is a wasteful number, since it uses less digits than its factorization.

462408500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72705806 (or 72705802 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 462408500040 in words is "four hundred sixty-two billion, four hundred eight million, five hundred thousand, forty".