1142300400 has 120 divisors (see below), whose sum is σ = 3777329664. Its totient is φ = 294777600.

The previous prime is 1142300399. The next prime is 1142300413. The reversal of 1142300400 is 40032411.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1142300400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21847 + ... + 52553.

Almost surely, 2^1142300400 is an apocalyptic number.

1142300400 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 1142300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888664832).

1142300400 is an abundant number, since it is smaller than the sum of its proper divisors (2635029264).

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

1142300400 is a wasteful number, since it uses less digits than its factorization.

1142300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30759 (or 30748 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1142300400 is about 33797.9348481531. The cubic root of 1142300400 is about 1045.3461152138.

Adding to 1142300400 its reverse (40032411), we get a palindrome (1182332811).

The spelling of 1142300400 in words is "one billion, one hundred forty-two million, three hundred thousand, four hundred".