4001114400 has 72 divisors (see below), whose sum is σ = 13023635184. Its totient is φ = 1066963200.

The previous prime is 4001114389. The next prime is 4001114419. The reversal of 4001114400 is 44111004.

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 4001114400.

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, 831166 + ... + 835965.

It is an arithmetic number, because the mean of its divisors is an integer number (180883822).

Almost surely, 2^4001114400 is an apocalyptic number.

4001114400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001114400 is an abundant number, since it is smaller than the sum of its proper divisors (9022520784).

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

4001114400 is a wasteful number, since it uses less digits than its factorization.

4001114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667154 (or 1667141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4001114400 is about 63254.3626953904. The cubic root of 4001114400 is about 1587.5484549246.

Adding to 4001114400 its reverse (44111004), we get a palindrome (4045225404).

The spelling of 4001114400 in words is "four billion, one million, one hundred fourteen thousand, four hundred".