142288824720 has 320 divisors, whose sum is σ = 529886085120. Its totient is φ = 30880886784.

The previous prime is 142288824653. The next prime is 142288824737. The reversal of 142288824720 is 27428882241.

It is a super-2 number, since 2×142288824720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 142288824720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5280241 + ... + 5307119.

It is an arithmetic number, because the mean of its divisors is an integer number (1655894016).

Almost surely, 2^142288824720 is an apocalyptic number.

142288824720 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 142288824720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264943042560).

142288824720 is an abundant number, since it is smaller than the sum of its proper divisors (387597260400).

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

142288824720 is a wasteful number, since it uses less digits than its factorization.

142288824720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27062 (or 27056 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 48.

The spelling of 142288824720 in words is "one hundred forty-two billion, two hundred eighty-eight million, eight hundred twenty-four thousand, seven hundred twenty".