234535507404380 has 288 divisors, whose sum is σ = 618278728132800. Its totient is φ = 74074012766208.

The previous prime is 234535507404337. The next prime is 234535507404383. The reversal of 234535507404380 is 83404705535432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234535507404383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12761050031 + ... + 12761068409.

It is an arithmetic number, because the mean of its divisors is an integer number (2146801139350).

Almost surely, 2^{234535507404380} is an apocalyptic number.

234535507404380 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 234535507404380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309139364066400).

234535507404380 is an abundant number, since it is smaller than the sum of its proper divisors (383743220728420).

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

234535507404380 is a wasteful number, since it uses less digits than its factorization.

234535507404380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20421 (or 20412 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 53.

The spelling of 234535507404380 in words is "two hundred thirty-four trillion, five hundred thirty-five billion, five hundred seven million, four hundred four thousand, three hundred eighty".