1142024640 has 448 divisors, whose sum is σ = 4213555200. Its totient is φ = 260112384.

The previous prime is 1142024599. The next prime is 1142024641. The reversal of 1142024640 is 464202411.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1142024640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142024641) 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 63 ways as a sum of consecutive naturals, for example, 8992257 + ... + 8992383.

Almost surely, 2^1142024640 is an apocalyptic number.

1142024640 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 1142024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106777600).

1142024640 is an abundant number, since it is smaller than the sum of its proper divisors (3071530560).

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

1142024640 is a wasteful number, since it uses less digits than its factorization.

1142024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

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

The square root of 1142024640 is about 33793.8550627181. The cubic root of 1142024640 is about 1045.2619902777.

The spelling of 1142024640 in words is "one billion, one hundred forty-two million, twenty-four thousand, six hundred forty".