1400113200 has 120 divisors (see below), whose sum is σ = 4748923728. Its totient is φ = 351395840.

The previous prime is 1400113199. The next prime is 1400113219. The reversal of 1400113200 is 23110041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13917 + ... + 54716.

Almost surely, 2^1400113200 is an apocalyptic number.

1400113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374461864).

1400113200 is an abundant number, since it is smaller than the sum of its proper divisors (3348810528).

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

1400113200 is a wasteful number, since it uses less digits than its factorization.

1400113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68671 (or 68660 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1400113200 is about 37418.0865357918. The cubic root of 1400113200 is about 1118.7190925993.

Adding to 1400113200 its reverse (23110041), we get a palindrome (1423223241).

The spelling of 1400113200 in words is "one billion, four hundred million, one hundred thirteen thousand, two hundred".