232242126480 has 1280 divisors, whose sum is σ = 1050172784640. Its totient is φ = 45830873088.

The previous prime is 232242126461. The next prime is 232242126491. The reversal of 232242126480 is 84621242232.

232242126480 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 4 + 2 + 1 + 2 + 648 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 212480814 + ... + 212481906.

It is an arithmetic number, because the mean of its divisors is an integer number (820447488).

Almost surely, 2^232242126480 is an apocalyptic number.

232242126480 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 232242126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525086392320).

232242126480 is an abundant number, since it is smaller than the sum of its proper divisors (817930658160).

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

232242126480 is a wasteful number, since it uses less digits than its factorization.

232242126480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 232242126480 in words is "two hundred thirty-two billion, two hundred forty-two million, one hundred twenty-six thousand, four hundred eighty".