258908221440 has 624 divisors, whose sum is σ = 984690042336. Its totient is φ = 62403379200.

The previous prime is 258908221427. The next prime is 258908221457. The reversal of 258908221440 is 44122809852.

258908221440 is a `hidden beast` number, since 2 + 589 + 0 + 8 + 2 + 21 + 4 + 40 = 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 47 ways as a sum of consecutive naturals, for example, 561622810 + ... + 561623270.

It is an arithmetic number, because the mean of its divisors is an integer number (1578028914).

Almost surely, 2^258908221440 is an apocalyptic number.

258908221440 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 258908221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492345021168).

258908221440 is an abundant number, since it is smaller than the sum of its proper divisors (725781820896).

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

258908221440 is a wasteful number, since it uses less digits than its factorization.

258908221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 258908221440 in words is "two hundred fifty-eight billion, nine hundred eight million, two hundred twenty-one thousand, four hundred forty".