4158421403904 has 576 divisors, whose sum is σ = 13070088192000. Its totient is φ = 1304128014336.

The previous prime is 4158421403897. The next prime is 4158421403921. The reversal of 4158421403904 is 4093041248514.

4158421403904 is a `hidden beast` number, since 4 + 1 + 584 + 21 + 40 + 3 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4158421403904.

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, 11330848329 + ... + 11330848695.

Almost surely, 2^{4158421403904} 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 4158421403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535044096000).

4158421403904 is an abundant number, since it is smaller than the sum of its proper divisors (8911666788096).

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

4158421403904 is an equidigital number, since it uses as much as digits as its factorization.

4158421403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4158421403904 in words is "four trillion, one hundred fifty-eight billion, four hundred twenty-one million, four hundred three thousand, nine hundred four".