142338013480800 has 864 divisors, whose sum is σ = 539798448938112. Its totient is φ = 35163303690240.

The previous prime is 142338013480763. The next prime is 142338013480823. The reversal of 142338013480800 is 8084310833241.

142338013480800 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 3 + 80 + 13 + 480 + 80 + 0 = 666.

It is a super-2 number, since 2×142338013480800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11702535519 + ... + 11702547681.

It is an arithmetic number, because the mean of its divisors is an integer number (624766723308).

Almost surely, 2^{142338013480800} is an apocalyptic number.

142338013480800 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 142338013480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269899224469056).

142338013480800 is an abundant number, since it is smaller than the sum of its proper divisors (397460435457312).

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

142338013480800 is a wasteful number, since it uses less digits than its factorization.

142338013480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700 (or 13684 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 142338013480800 in words is "one hundred forty-two trillion, three hundred thirty-eight billion, thirteen million, four hundred eighty thousand, eight hundred".