258418045440 has 800 divisors, whose sum is σ = 984995795520. Its totient is φ = 64568918016.

The previous prime is 258418045387. The next prime is 258418045453. The reversal of 258418045440 is 44540814852.

258418045440 is a `hidden beast` number, since 2 + 5 + 84 + 1 + 80 + 454 + 40 = 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 79 ways as a sum of consecutive naturals, for example, 421562574 + ... + 421563186.

Almost surely, 2^258418045440 is an apocalyptic number.

258418045440 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 258418045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492497897760).

258418045440 is an abundant number, since it is smaller than the sum of its proper divisors (726577750080).

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

258418045440 is a wasteful number, since it uses less digits than its factorization.

258418045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

It can be divided in two parts, 25841 and 8045440, that added together give a square (8071281 = 2841²).

The spelling of 258418045440 in words is "two hundred fifty-eight billion, four hundred eighteen million, forty-five thousand, four hundred forty".