258192419940 has 960 divisors, whose sum is σ = 1050941337600. Its totient is φ = 52672757760.

The previous prime is 258192419861. The next prime is 258192420011. The reversal of 258192419940 is 49914291852.

258192419940 is a `hidden beast` number, since 2 + 58 + 1 + 92 + 419 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 223930404 + ... + 223931556.

It is an arithmetic number, because the mean of its divisors is an integer number (1094730560).

Almost surely, 2^258192419940 is an apocalyptic number.

258192419940 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 258192419940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525470668800).

258192419940 is an abundant number, since it is smaller than the sum of its proper divisors (792748917660).

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

258192419940 is a wasteful number, since it uses less digits than its factorization.

258192419940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 258192419940 in words is "two hundred fifty-eight billion, one hundred ninety-two million, four hundred nineteen thousand, nine hundred forty".