4488991920 has 640 divisors, whose sum is σ = 18498816000. Its totient is φ = 999806976.

The previous prime is 4488991907. The next prime is 4488991939. The reversal of 4488991920 is 291998844.

4488991920 is a `hidden beast` number, since 448 + 8 + 9 + 9 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54084199 + ... + 54084281.

It is an arithmetic number, because the mean of its divisors is an integer number (28904400).

Almost surely, 2^4488991920 is an apocalyptic number.

4488991920 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 4488991920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249408000).

4488991920 is an abundant number, since it is smaller than the sum of its proper divisors (14009824080).

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

4488991920 is a wasteful number, since it uses less digits than its factorization.

4488991920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 4488991920 is about 66999.9397014654. The cubic root of 4488991920 is about 1649.6163074769.

The spelling of 4488991920 in words is "four billion, four hundred eighty-eight million, nine hundred ninety-one thousand, nine hundred twenty".