413730269232 has 320 divisors, whose sum is σ = 1332067123200. Its totient is φ = 107966960640.

The previous prime is 413730269231. The next prime is 413730269243. The reversal of 413730269232 is 232962037314.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (413730269231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179025357 + ... + 179027667.

It is an arithmetic number, because the mean of its divisors is an integer number (4162709760).

Almost surely, 2^413730269232 is an apocalyptic number.

413730269232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413730269232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666033561600).

413730269232 is an abundant number, since it is smaller than the sum of its proper divisors (918336853968).

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

413730269232 is a wasteful number, since it uses less digits than its factorization.

413730269232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 413730269232 in words is "four hundred thirteen billion, seven hundred thirty million, two hundred sixty-nine thousand, two hundred thirty-two".