1142978400 has 108 divisors (see below), whose sum is σ = 4030452972. Its totient is φ = 304792320.

The previous prime is 1142978381. The next prime is 1142978407. The reversal of 1142978400 is 48792411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142978407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 72174 + ... + 86573.

It is an arithmetic number, because the mean of its divisors is an integer number (37319009).

Almost surely, 2^1142978400 is an apocalyptic number.

1142978400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142978400 is an abundant number, since it is smaller than the sum of its proper divisors (2887474572).

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

1142978400 is a wasteful number, since it uses less digits than its factorization.

1142978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158773 (or 158757 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1142978400 is about 33807.9635589013. The cubic root of 1142978400 is about 1045.5528922547.

The spelling of 1142978400 in words is "one billion, one hundred forty-two million, nine hundred seventy-eight thousand, four hundred".