258501949440 has 768 divisors, whose sum is σ = 1003871232000. Its totient is φ = 55472947200.

The previous prime is 258501949411. The next prime is 258501949507. The reversal of 258501949440 is 44949105852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616949551 + ... + 616949969.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124000).

Almost surely, 2^258501949440 is an apocalyptic number.

258501949440 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 258501949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616000).

258501949440 is an abundant number, since it is smaller than the sum of its proper divisors (745369282560).

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

258501949440 is a wasteful number, since it uses less digits than its factorization.

258501949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 258501949440 in words is "two hundred fifty-eight billion, five hundred one million, nine hundred forty-nine thousand, four hundred forty".