142393497442560 has 3456 divisors, whose sum is σ = 648932421795840. Its totient is φ = 27991808409600.

The previous prime is 142393497442531. The next prime is 142393497442619. The reversal of 142393497442560 is 65244794393241.

142393497442560 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 93 + 49 + 7 + 442 + 5 + 60 = 666.

It is a super-4 number, since 4×142393497442560⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 457856904805 + ... + 457856905115.

Almost surely, 2^{142393497442560} is an apocalyptic number.

142393497442560 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 142393497442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324466210897920).

142393497442560 is an abundant number, since it is smaller than the sum of its proper divisors (506538924353280).

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

142393497442560 is a wasteful number, since it uses less digits than its factorization.

142393497442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 142393497442560 in words is "one hundred forty-two trillion, three hundred ninety-three billion, four hundred ninety-seven million, four hundred forty-two thousand, five hundred sixty".