234561390417120 has 192 divisors, whose sum is σ = 796158356261184. Its totient is φ = 57705248931840.

The previous prime is 234561390417113. The next prime is 234561390417149. The reversal of 234561390417120 is 21714093165432.

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 234561390417120.

It is a congruent number.

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, 217110 + ... + 21660330.

It is an arithmetic number, because the mean of its divisors is an integer number (4146658105527).

Almost surely, 2^{234561390417120} is an apocalyptic number.

234561390417120 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 234561390417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398079178130592).

234561390417120 is an abundant number, since it is smaller than the sum of its proper divisors (561596965844064).

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

234561390417120 is a wasteful number, since it uses less digits than its factorization.

234561390417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21445005 (or 21444997 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 234561390417120 in words is "two hundred thirty-four trillion, five hundred sixty-one billion, three hundred ninety million, four hundred seventeen thousand, one hundred twenty".