234518538240 has 1152 divisors, whose sum is σ = 999012268800. Its totient is φ = 49824792576.

The previous prime is 234518538197. The next prime is 234518538269. The reversal of 234518538240 is 42835815432.

234518538240 is a `hidden beast` number, since 2 + 3 + 4 + 518 + 53 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8056 × 6840 × 4256.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4424878054 + ... + 4424878106.

It is an arithmetic number, because the mean of its divisors is an integer number (867198150).

Almost surely, 2^234518538240 is an apocalyptic number.

234518538240 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 234518538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499506134400).

234518538240 is an abundant number, since it is smaller than the sum of its proper divisors (764493730560).

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

234518538240 is an equidigital number, since it uses as much as digits as its factorization.

234518538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 234518538240 in words is "two hundred thirty-four billion, five hundred eighteen million, five hundred thirty-eight thousand, two hundred forty".