424258166304 has 288 divisors, whose sum is σ = 1399909754880. Its totient is φ = 119377152000.

The previous prime is 424258166251. The next prime is 424258166323. The reversal of 424258166304 is 403661852424.

424258166304 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 5 + 8 + 1 + 6 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 424258166304.

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, 38885202 + ... + 38896110.

It is an arithmetic number, because the mean of its divisors is an integer number (4860797760).

Almost surely, 2^424258166304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424258166304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699954877440).

424258166304 is an abundant number, since it is smaller than the sum of its proper divisors (975651588576).

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

424258166304 is a wasteful number, since it uses less digits than its factorization.

424258166304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 424258166304 in words is "four hundred twenty-four billion, two hundred fifty-eight million, one hundred sixty-six thousand, three hundred four".