1142288784 has 320 divisors, whose sum is σ = 4124736000. Its totient is φ = 300754944.

The previous prime is 1142288783. The next prime is 1142288821. The reversal of 1142288784 is 4878822411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1142288783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1925992 + ... + 1926584.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2^1142288784 is an apocalyptic number.

1142288784 is a gapful number since it is divisible by the number (14) 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 1142288784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368000).

1142288784 is an abundant number, since it is smaller than the sum of its proper divisors (2982447216).

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

1142288784 is a wasteful number, since it uses less digits than its factorization.

1142288784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 618 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 1142288784 is about 33797.7630028971. The cubic root of 1142288784 is about 1045.3425718430.

The spelling of 1142288784 in words is "one billion, one hundred forty-two million, two hundred eighty-eight thousand, seven hundred eighty-four".