258166333440 has 1344 divisors, whose sum is σ = 1030477593600. Its totient is φ = 59454259200.

The previous prime is 258166333433. The next prime is 258166333457. The reversal of 258166333440 is 44333661852.

258166333440 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 6 + 633 + 3 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6296739820 + ... + 6296739860.

It is an arithmetic number, because the mean of its divisors is an integer number (766724400).

Almost surely, 2^258166333440 is an apocalyptic number.

258166333440 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 258166333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515238796800).

258166333440 is an abundant number, since it is smaller than the sum of its proper divisors (772311260160).

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

258166333440 is a wasteful number, since it uses less digits than its factorization.

258166333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 258166333440 in words is "two hundred fifty-eight billion, one hundred sixty-six million, three hundred thirty-three thousand, four hundred forty".