1142240400 has 480 divisors, whose sum is σ = 4815763200. Its totient is φ = 251596800.

The previous prime is 1142240399. The next prime is 1142240401. The reversal of 1142240400 is 40422411.

It is an interprime number because it is at equal distance from previous prime (1142240399) and next prime (1142240401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142240401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2192140 + ... + 2192660.

It is an arithmetic number, because the mean of its divisors is an integer number (10032840).

Almost surely, 2^1142240400 is an apocalyptic number.

1142240400 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 1142240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407881600).

1142240400 is an abundant number, since it is smaller than the sum of its proper divisors (3673522800).

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

1142240400 is a wasteful number, since it uses less digits than its factorization.

1142240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1142240400 is about 33797.0472082991. The cubic root of 1142240400 is about 1045.3278124202.

Adding to 1142240400 its reverse (40422411), we get a palindrome (1182662811).

The spelling of 1142240400 in words is "one billion, one hundred forty-two million, two hundred forty thousand, four hundred".