234413240520000 has 280 divisors, whose sum is σ = 779779688449696. Its totient is φ = 62126694144000.

The previous prime is 234413240519993. The next prime is 234413240520037. The reversal of 234413240520000 is 25042314432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 234413240520000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13567842 + ... + 25552158.

Almost surely, 2^{234413240520000} is an apocalyptic number.

234413240520000 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 234413240520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389889844224848).

234413240520000 is an abundant number, since it is smaller than the sum of its proper divisors (545366447929696).

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

234413240520000 is a wasteful number, since it uses less digits than its factorization.

234413240520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984515 (or 11984490 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 234413240520000 its reverse (25042314432), we get a palindrome (234438282834432).

The spelling of 234413240520000 in words is "two hundred thirty-four trillion, four hundred thirteen billion, two hundred forty million, five hundred twenty thousand".