232040202144 has 96 divisors (see below), whose sum is σ = 615393858240. Its totient is φ = 76548864000.

The previous prime is 232040202139. The next prime is 232040202179. The reversal of 232040202144 is 441202040232.

232040202144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×232040202144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 38092539 + ... + 38098629.

It is an arithmetic number, because the mean of its divisors is an integer number (6410352690).

Almost surely, 2^232040202144 is an apocalyptic number.

232040202144 is a gapful number since it is divisible by the number (24) 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 232040202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307696929120).

232040202144 is an abundant number, since it is smaller than the sum of its proper divisors (383353656096).

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

232040202144 is a wasteful number, since it uses less digits than its factorization.

232040202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 232040202144 its reverse (441202040232), we get a palindrome (673242242376).

The spelling of 232040202144 in words is "two hundred thirty-two billion, forty million, two hundred two thousand, one hundred forty-four".