142730726400 has 528 divisors, whose sum is σ = 538409800480. Its totient is φ = 37026201600.

The previous prime is 142730726393. The next prime is 142730726429. The reversal of 142730726400 is 4627037241.

142730726400 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 3 + 0 + 7 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25571610 + ... + 25577190.

Almost surely, 2^142730726400 is an apocalyptic number.

142730726400 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 142730726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269204900240).

142730726400 is an abundant number, since it is smaller than the sum of its proper divisors (395679074080).

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

142730726400 is a wasteful number, since it uses less digits than its factorization.

142730726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 142730726400 in words is "one hundred forty-two billion, seven hundred thirty million, seven hundred twenty-six thousand, four hundred".