4589961120 has 192 divisors, whose sum is σ = 16368791040. Its totient is φ = 1200835584.

The previous prime is 4589961107. The next prime is 4589961143. The reversal of 4589961120 is 211699854.

4589961120 is a `hidden beast` number, since 4 + 5 + 8 + 9 + 9 + 611 + 20 = 666.

It is a super-2 number, since 2×4589961120² = 42135486166223308800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 218937 + ... + 238983.

It is an arithmetic number, because the mean of its divisors is an integer number (85254120).

Almost surely, 2^4589961120 is an apocalyptic number.

4589961120 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 4589961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184395520).

4589961120 is an abundant number, since it is smaller than the sum of its proper divisors (11778829920).

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

4589961120 is a wasteful number, since it uses less digits than its factorization.

4589961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20124 (or 20110 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 4589961120 is about 67749.2518039867. The cubic root of 4589961120 is about 1661.8927845967.

The spelling of 4589961120 in words is "four billion, five hundred eighty-nine million, nine hundred sixty-one thousand, one hundred twenty".