258355042344 has 1280 divisors, whose sum is σ = 976323870720. Its totient is φ = 62078607360.

The previous prime is 258355042303. The next prime is 258355042397. The reversal of 258355042344 is 443240553852.

258355042344 is a `hidden beast` number, since 2 + 5 + 83 + 5 + 504 + 23 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 258355042344.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2034291609 + ... + 2034291735.

It is an arithmetic number, because the mean of its divisors is an integer number (762753024).

Almost surely, 2^258355042344 is an apocalyptic number.

258355042344 is a gapful number since it is divisible by the number (24) 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 258355042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488161935360).

258355042344 is an abundant number, since it is smaller than the sum of its proper divisors (717968828376).

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

258355042344 is a wasteful number, since it uses less digits than its factorization.

258355042344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 258355042344 in words is "two hundred fifty-eight billion, three hundred fifty-five million, forty-two thousand, three hundred forty-four".