234520811965440 has 12672 divisors, whose sum is σ = 1294602379499520. Its totient is φ = 39351924817920.

The previous prime is 234520811965409. The next prime is 234520811965481. The reversal of 234520811965440 is 44569118025432.

234520811965440 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 2 + 0 + 8 + 1 + 1 + 96 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (12672).

It is a super-2 number, since 2×234520811965440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 4424920980454 + ... + 4424920980506.

Almost surely, 2^{234520811965440} is an apocalyptic number.

234520811965440 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 234520811965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647301189749760).

234520811965440 is an abundant number, since it is smaller than the sum of its proper divisors (1060081567534080).

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

234520811965440 is a wasteful number, since it uses less digits than its factorization.

234520811965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 234520811965440 in words is "two hundred thirty-four trillion, five hundred twenty billion, eight hundred eleven million, nine hundred sixty-five thousand, four hundred forty".