142244320800 has 288 divisors, whose sum is σ = 490318617600. Its totient is φ = 35718312960.

The previous prime is 142244320763. The next prime is 142244320859. The reversal of 142244320800 is 8023442241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7605861 + ... + 7624539.

It is an arithmetic number, because the mean of its divisors is an integer number (1702495200).

Almost surely, 2^142244320800 is an apocalyptic number.

142244320800 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 142244320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245159308800).

142244320800 is an abundant number, since it is smaller than the sum of its proper divisors (348074296800).

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

142244320800 is a wasteful number, since it uses less digits than its factorization.

142244320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18888 (or 18875 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 142244320800 in words is "one hundred forty-two billion, two hundred forty-four million, three hundred twenty thousand, eight hundred".