4001107200 has 108 divisors (see below), whose sum is σ = 13204550688. Its totient is φ = 1066956800.

The previous prime is 4001107189. The next prime is 4001107207. The reversal of 4001107200 is 27011004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4001107200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001107207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84996 + ... + 123395.

Almost surely, 2^4001107200 is an apocalyptic number.

4001107200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001107200 is an abundant number, since it is smaller than the sum of its proper divisors (9203443488).

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

4001107200 is a wasteful number, since it uses less digits than its factorization.

4001107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208420 (or 208401 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 4001107200 is about 63254.3057822944. The cubic root of 4001107200 is about 1587.5475026602.

Adding to 4001107200 its reverse (27011004), we get a palindrome (4028118204).

The spelling of 4001107200 in words is "four billion, one million, one hundred seven thousand, two hundred".