413722464800 has 54 divisors (see below), whose sum is σ = 1010044382319. Its totient is φ = 165481708800.

The previous prime is 413722464797. The next prime is 413722464803. The reversal of 413722464800 is 8464227314.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (413722464797) and next prime (413722464803).

It can be written as a sum of positive squares in 5 ways, for example, as 9221376784 + 404501088016 = 96028^2 + 636004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=454820.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413722464803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18181430 + ... + 18204170.

Almost surely, 2^413722464800 is an apocalyptic number.

413722464800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413722464800 is an abundant number, since it is smaller than the sum of its proper divisors (596321917519).

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

413722464800 is an frugal number, since it uses more digits than its factorization.

413722464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45502 (or 22748 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

It can be divided in two parts, 4137224 and 64800, that added together give a palindrome (4202024).

The spelling of 413722464800 in words is "four hundred thirteen billion, seven hundred twenty-two million, four hundred sixty-four thousand, eight hundred".