234025039151280 has 640 divisors, whose sum is σ = 888464834611200. Its totient is φ = 56254846685184.

The previous prime is 234025039151249. The next prime is 234025039151317. The reversal of 234025039151280 is 82151930520432.

234025039151280 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 2 + 50 + 3 + 9 + 1 + 512 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6789417886 + ... + 6789452354.

It is an arithmetic number, because the mean of its divisors is an integer number (1388226304080).

Almost surely, 2^{234025039151280} is an apocalyptic number.

234025039151280 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 234025039151280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444232417305600).

234025039151280 is an abundant number, since it is smaller than the sum of its proper divisors (654439795459920).

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

234025039151280 is a wasteful number, since it uses less digits than its factorization.

234025039151280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40170 (or 40158 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 234025039151280 in words is "two hundred thirty-four trillion, twenty-five billion, thirty-nine million, one hundred fifty-one thousand, two hundred eighty".