4089553920 has 528 divisors, whose sum is σ = 15557855040. Its totient is φ = 1027178496.

The previous prime is 4089553891. The next prime is 4089553931. The reversal of 4089553920 is 293559804.

4089553920 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 553 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23638954 + ... + 23639126.

Almost surely, 2^4089553920 is an apocalyptic number.

4089553920 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 4089553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778927520).

4089553920 is an abundant number, since it is smaller than the sum of its proper divisors (11468301120).

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

4089553920 is a wasteful number, since it uses less digits than its factorization.

4089553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4089553920 is about 63949.6201708814. The cubic root of 4089553920 is about 1599.1602259810.

It can be divided in two parts, 4089 and 553920, that added together give a square (558009 = 747²).

The spelling of 4089553920 in words is "four billion, eighty-nine million, five hundred fifty-three thousand, nine hundred twenty".