4191725904 has 160 divisors (see below), whose sum is σ = 11807887104. Its totient is φ = 1276354560.

The previous prime is 4191725849. The next prime is 4191725929. The reversal of 4191725904 is 4095271914.

4191725904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4454074 + ... + 4455014.

Almost surely, 2^4191725904 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 4191725904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903943552).

4191725904 is an abundant number, since it is smaller than the sum of its proper divisors (7616161200).

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

4191725904 is a wasteful number, since it uses less digits than its factorization.

4191725904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 4191725904 is about 64743.5394769239. The cubic root of 4191725904 is about 1612.3684524139.

The spelling of 4191725904 in words is "four billion, one hundred ninety-one million, seven hundred twenty-five thousand, nine hundred four".