1142246400 has 264 divisors, whose sum is σ = 3837879360. Its totient is φ = 299581440.

The previous prime is 1142246393. The next prime is 1142246437. The reversal of 1142246400 is 46422411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8217531 + ... + 8217669.

Almost surely, 2^1142246400 is an apocalyptic number.

1142246400 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 1142246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918939680).

1142246400 is an abundant number, since it is smaller than the sum of its proper divisors (2695632960).

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

1142246400 is a wasteful number, since it uses less digits than its factorization.

1142246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1142246400 is about 33797.1359733336. The cubic root of 1142246400 is about 1045.3296427284.

Adding to 1142246400 its reverse (46422411), we get a palindrome (1188668811).

The spelling of 1142246400 in words is "one billion, one hundred forty-two million, two hundred forty-six thousand, four hundred".