1014200400 has 60 divisors (see below), whose sum is σ = 3248825792. Its totient is φ = 270453120.

The previous prime is 1014200393. The next prime is 1014200413. The reversal of 1014200400 is 40024101.

1014200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

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, 421384 + ... + 423783.

Almost surely, 2^1014200400 is an apocalyptic number.

1014200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014200400 is an abundant number, since it is smaller than the sum of its proper divisors (2234625392).

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

1014200400 is a wasteful number, since it uses less digits than its factorization.

1014200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845188 (or 845177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1014200400 is about 31846.5131529340. The cubic root of 1014200400 is about 1004.7112360649.

Adding to 1014200400 its reverse (40024101), we get a palindrome (1054224501).

It can be divided in two parts, 1014200 and 400, that added together give a triangular number (1014600 = T₁₄₂₄).

The spelling of 1014200400 in words is "one billion, fourteen million, two hundred thousand, four hundred".