232254125114440 has 512 divisors, whose sum is σ = 641680413696000. Its totient is φ = 74538032025600.

The previous prime is 232254125114399. The next prime is 232254125114489. The reversal of 232254125114440 is 44411521452232.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 232254125114393 and 232254125114402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1786216630 + ... + 1786346650.

It is an arithmetic number, because the mean of its divisors is an integer number (1253282058000).

Almost surely, 2^{232254125114440} is an apocalyptic number.

232254125114440 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 232254125114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320840206848000).

232254125114440 is an abundant number, since it is smaller than the sum of its proper divisors (409426288581560).

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

232254125114440 is a wasteful number, since it uses less digits than its factorization.

232254125114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130261 (or 130257 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 232254125114440 its reverse (44411521452232), we get a palindrome (276665646566672).

The spelling of 232254125114440 in words is "two hundred thirty-two trillion, two hundred fifty-four billion, one hundred twenty-five million, one hundred fourteen thousand, four hundred forty".