4001401120 has 48 divisors (see below), whose sum is σ = 9673171200. Its totient is φ = 1563335424.

The previous prime is 4001401111. The next prime is 4001401123. The reversal of 4001401120 is 211041004.

It is a super-2 number, since 2×4001401120² = 32022421846274508800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4001401120.

It is not an unprimeable number, because it can be changed into a prime (4001401123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283920 + ... + 297679.

It is an arithmetic number, because the mean of its divisors is an integer number (201524400).

Almost surely, 2^4001401120 is an apocalyptic number.

4001401120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001401120 is an abundant number, since it is smaller than the sum of its proper divisors (5671770080).

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

4001401120 is a wasteful number, since it uses less digits than its factorization.

4001401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581657 (or 581649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4001401120 is about 63256.6290597278. The cubic root of 4001401120 is about 1587.5863752784.

Adding to 4001401120 its reverse (211041004), we get a palindrome (4212442124).

The spelling of 4001401120 in words is "four billion, one million, four hundred one thousand, one hundred twenty".