142523484422400 has 567 divisors, whose sum is σ = 529005599541741. Its totient is φ = 37999386040320.

The previous prime is 142523484422327. The next prime is 142523484422419. The reversal of 142523484422400 is 4224484325241.

The square root of 142523484422400 is 11938320.

It is a perfect power (a square), and thus also a powerful number.

142523484422400 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 234 + 8 + 4 + 4 + 2 + 2 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51308454392064 + 91215030030336 = 7162992^2 + 9550656^2 .

It is a super-2 number, since 2×142523484422400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 25786768437 + ... + 25786773963.

Almost surely, 2^{142523484422400} is an apocalyptic number.

142523484422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142523484422400 is the 11938320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142523484422400

142523484422400 is an abundant number, since it is smaller than the sum of its proper divisors (386482115119341).

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

142523484422400 is an frugal number, since it uses more digits than its factorization.

142523484422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11098 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 45.

The spelling of 142523484422400 in words is "one hundred forty-two trillion, five hundred twenty-three billion, four hundred eighty-four million, four hundred twenty-two thousand, four hundred".