413236415232 has 144 divisors (see below), whose sum is σ = 1223562355680. Its totient is φ = 137570807808.

The previous prime is 413236415159. The next prime is 413236415239. The reversal of 413236415232 is 232514632314.

413236415232 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 3 + 6 + 415 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×413236415232² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413236415239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5471358 + ... + 5546370.

Almost surely, 2^413236415232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413236415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611781177840).

413236415232 is an abundant number, since it is smaller than the sum of its proper divisors (810325940448).

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

413236415232 is an equidigital number, since it uses as much as digits as its factorization.

413236415232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75835 (or 75815 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 413236415232 in words is "four hundred thirteen billion, two hundred thirty-six million, four hundred fifteen thousand, two hundred thirty-two".