4001111800 has 48 divisors (see below), whose sum is σ = 10631529360. Its totient is φ = 1371809280.

The previous prime is 4001111791. The next prime is 4001111843. The reversal of 4001111800 is 81111004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1427569 + ... + 1430368.

It is an arithmetic number, because the mean of its divisors is an integer number (221490195).

Almost surely, 2^4001111800 is an apocalyptic number.

4001111800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001111800 is an abundant number, since it is smaller than the sum of its proper divisors (6630417560).

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

4001111800 is a wasteful number, since it uses less digits than its factorization.

4001111800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857960 (or 2857951 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 4001111800 is about 63254.3421434450. The cubic root of 4001111800 is about 1587.5481110515.

Adding to 4001111800 its reverse (81111004), we get a palindrome (4082222804).

The spelling of 4001111800 in words is "four billion, one million, one hundred eleven thousand, eight hundred".