1142520400 has 240 divisors, whose sum is σ = 3323430144. Its totient is φ = 369008640.

The previous prime is 1142520397. The next prime is 1142520413. The reversal of 1142520400 is 40252411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7277122 + ... + 7277278.

Almost surely, 2^1142520400 is an apocalyptic number.

1142520400 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 1142520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661715072).

1142520400 is an abundant number, since it is smaller than the sum of its proper divisors (2180909744).

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

1142520400 is a wasteful number, since it uses less digits than its factorization.

1142520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1142520400 is about 33801.1893281878. The cubic root of 1142520400 is about 1045.4132199739.

Adding to 1142520400 its reverse (40252411), we get a palindrome (1182772811).

The spelling of 1142520400 in words is "one billion, one hundred forty-two million, five hundred twenty thousand, four hundred".