234362401920 has 256 divisors, whose sum is σ = 830701872000. Its totient is φ = 62446325760.

The previous prime is 234362401909. The next prime is 234362401969. The reversal of 234362401920 is 29104263432.

234362401920 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 624 + 0 + 1 + 9 + 20 = 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 31 ways as a sum of consecutive naturals, for example, 24688375 + ... + 24697865.

Almost surely, 2^234362401920 is an apocalyptic number.

234362401920 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 234362401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415350936000).

234362401920 is an abundant number, since it is smaller than the sum of its proper divisors (596339470080).

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

234362401920 is a wasteful number, since it uses less digits than its factorization.

234362401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 234362401920 in words is "two hundred thirty-four billion, three hundred sixty-two million, four hundred one thousand, nine hundred twenty".