4000590120 has 64 divisors (see below), whose sum is σ = 12010057920. Its totient is φ = 1066087424.

The previous prime is 4000590101. The next prime is 4000590131. The reversal of 4000590120 is 210950004.

It is a super-2 number, since 2×4000590120² = 32009442616483228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175627 + ... + 197093.

It is an arithmetic number, because the mean of its divisors is an integer number (187657155).

Almost surely, 2^4000590120 is an apocalyptic number.

4000590120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000590120 is an abundant number, since it is smaller than the sum of its proper divisors (8009467800).

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

4000590120 is a wasteful number, since it uses less digits than its factorization.

4000590120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23034 (or 23030 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 4000590120 is about 63250.2183395441. The cubic root of 4000590120 is about 1587.4791112220.

The spelling of 4000590120 in words is "four billion, five hundred ninety thousand, one hundred twenty".