413244032040 has 128 divisors (see below), whose sum is σ = 1574263008000. Its totient is φ = 94455777024.

The previous prime is 413244031987. The next prime is 413244032141. The reversal of 413244032040 is 40230442314.

It is a happy number.

413244032040 is a `hidden beast` number, since 4 + 13 + 2 + 440 + 3 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 413244031995 and 413244032013.

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, 27323395 + ... + 27338514.

It is an arithmetic number, because the mean of its divisors is an integer number (12298929750).

Almost surely, 2^413244032040 is an apocalyptic number.

413244032040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413244032040 is an abundant number, since it is smaller than the sum of its proper divisors (1161018975960).

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

413244032040 is a wasteful number, since it uses less digits than its factorization.

413244032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54661936 (or 54661926 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 413244032040 its reverse (40230442314), we get a palindrome (453474474354).

The spelling of 413244032040 in words is "four hundred thirteen billion, two hundred forty-four million, thirty-two thousand, forty".