1142881920 has 384 divisors, whose sum is σ = 4334184000. Its totient is φ = 283834368.

The previous prime is 1142881919. The next prime is 1142881921. The reversal of 1142881920 is 291882411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1142881919) and next prime (1142881921).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1142881921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19370851 + ... + 19370909.

Almost surely, 2^1142881920 is an apocalyptic number.

1142881920 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 1142881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167092000).

1142881920 is an abundant number, since it is smaller than the sum of its proper divisors (3191302080).

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

1142881920 is an equidigital number, since it uses as much as digits as its factorization.

1142881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1142881920 is about 33806.5366460393. The cubic root of 1142881920 is about 1045.5234726898.

The spelling of 1142881920 in words is "one billion, one hundred forty-two million, eight hundred eighty-one thousand, nine hundred twenty".