232278349343040 has 3584 divisors, whose sum is σ = 1120776188313600. Its totient is φ = 43726271938560.

The previous prime is 232278349343021. The next prime is 232278349343063. The reversal of 232278349343040 is 40343943872232.

232278349343040 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 7 + 83 + 4 + 93 + 430 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 147104716971 + ... + 147104718549.

It is an arithmetic number, because the mean of its divisors is an integer number (312716570400).

Almost surely, 2^{232278349343040} is an apocalyptic number.

232278349343040 is a gapful number since it is divisible by the number (20) 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 232278349343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560388094156800).

232278349343040 is an abundant number, since it is smaller than the sum of its proper divisors (888497838970560).

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

232278349343040 is a wasteful number, since it uses less digits than its factorization.

232278349343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 232278349343040 in words is "two hundred thirty-two trillion, two hundred seventy-eight billion, three hundred forty-nine million, three hundred forty-three thousand, forty".