1142366400 has 378 divisors, whose sum is σ = 4726053540. Its totient is φ = 260951040.

The previous prime is 1142366371. The next prime is 1142366419. The reversal of 1142366400 is 46632411.

1142366400 is a `hidden beast` number, since 1 + 14 + 2 + 3 + 6 + 640 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 704791 + ... + 706409.

Almost surely, 2^1142366400 is an apocalyptic number.

1142366400 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 1142366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363026770).

1142366400 is an abundant number, since it is smaller than the sum of its proper divisors (3583687140).

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

1142366400 is a wasteful number, since it uses less digits than its factorization.

1142366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1142366400 is about 33798.9112250676. The cubic root of 1142366400 is about 1045.3662475464.

Adding to 1142366400 its reverse (46632411), we get a palindrome (1188998811).

The spelling of 1142366400 in words is "one billion, one hundred forty-two million, three hundred sixty-six thousand, four hundred".