4290791904 has 144 divisors (see below), whose sum is σ = 14113636992. Its totient is φ = 1211122944.

The previous prime is 4290791881. The next prime is 4290791917. The reversal of 4290791904 is 4091970924.

It is a happy number.

4290791904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4290791904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154507 + ... + 180149.

It is an arithmetic number, because the mean of its divisors is an integer number (98011368).

Almost surely, 2^4290791904 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 4290791904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056818496).

4290791904 is an abundant number, since it is smaller than the sum of its proper divisors (9822845088).

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

4290791904 is a wasteful number, since it uses less digits than its factorization.

4290791904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25749 (or 25738 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 4290791904 is about 65504.1365411376. The cubic root of 4290791904 is about 1624.9717585940.

The spelling of 4290791904 in words is "four billion, two hundred ninety million, seven hundred ninety-one thousand, nine hundred four".