1142986416 has 160 divisors (see below), whose sum is σ = 3509775360. Its totient is φ = 315955200.

The previous prime is 1142986379. The next prime is 1142986441. The reversal of 1142986416 is 6146892411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609961 + ... + 611831.

It is an arithmetic number, because the mean of its divisors is an integer number (21936096).

Almost surely, 2^1142986416 is an apocalyptic number.

1142986416 is a gapful number since it is divisible by the number (16) 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 1142986416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754887680).

1142986416 is an abundant number, since it is smaller than the sum of its proper divisors (2366788944).

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

1142986416 is a wasteful number, since it uses less digits than its factorization.

1142986416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1989 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1142986416 is about 33808.0821106433. The cubic root of 1142986416 is about 1045.5553364923. Note that the first 3 decimals are identical.

The spelling of 1142986416 in words is "one billion, one hundred forty-two million, nine hundred eighty-six thousand, four hundred sixteen".