4004791920 has 120 divisors (see below), whose sum is σ = 13639028832. Its totient is φ = 1052889600.

The previous prime is 4004791919. The next prime is 4004791969. The reversal of 4004791920 is 291974004.

4004791920 is digitally balanced in base 2 and base 4, because in such bases 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11950 + ... + 90290.

Almost surely, 2^4004791920 is an apocalyptic number.

4004791920 is a gapful number since it is divisible by the number (40) 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 4004791920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819514416).

4004791920 is an abundant number, since it is smaller than the sum of its proper divisors (9634236912).

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

4004791920 is a wasteful number, since it uses less digits than its factorization.

4004791920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78431 (or 78422 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4004791920 is about 63283.4253181668. The cubic root of 4004791920 is about 1588.0346905775.

The spelling of 4004791920 in words is "four billion, four million, seven hundred ninety-one thousand, nine hundred twenty".