234158766240 has 384 divisors, whose sum is σ = 856294612992. Its totient is φ = 52682526720.

The previous prime is 234158766227. The next prime is 234158766269. The reversal of 234158766240 is 42667851432.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 234158766240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59869885 + ... + 59873795.

It is an arithmetic number, because the mean of its divisors is an integer number (2229933888).

Almost surely, 2^234158766240 is an apocalyptic number.

234158766240 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 234158766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428147306496).

234158766240 is an abundant number, since it is smaller than the sum of its proper divisors (622135846752).

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

234158766240 is a wasteful number, since it uses less digits than its factorization.

234158766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 234158766240 in words is "two hundred thirty-four billion, one hundred fifty-eight million, seven hundred sixty-six thousand, two hundred forty".