232021132401024 has 320 divisors, whose sum is σ = 698988454164000. Its totient is φ = 76392475066368.

The previous prime is 232021132401013. The next prime is 232021132401059. The reversal of 232021132401024 is 420104231120232.

232021132401024 is a `hidden beast` number, since 2 + 3 + 20 + 211 + 3 + 2 + 401 + 0 + 24 = 666.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 415135392 + ... + 415693920.

Almost surely, 2^{232021132401024} is an apocalyptic number.

232021132401024 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 232021132401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349494227082000).

232021132401024 is an abundant number, since it is smaller than the sum of its proper divisors (466967321762976).

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

232021132401024 is a wasteful number, since it uses less digits than its factorization.

232021132401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559047 (or 559026 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 232021132401024 its reverse (420104231120232), we get a palindrome (652125363521256).

The spelling of 232021132401024 in words is "two hundred thirty-two trillion, twenty-one billion, one hundred thirty-two million, four hundred one thousand, twenty-four".