142116916838400 has 1215 divisors, whose sum is σ = 592862143586349. Its totient is φ = 32447244533760.

The previous prime is 142116916838381. The next prime is 142116916838423. The reversal of 142116916838400 is 4838619611241.

The square root of 142116916838400 is 11921280.

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

142116916838400 is a `hidden beast` number, since 1 + 4 + 2 + 11 + 69 + 168 + 3 + 8 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51162090061824 + 90954826776576 = 7152768^2 + 9537024^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 160222002757 + ... + 160222003643.

Almost surely, 2^{142116916838400} is an apocalyptic number.

142116916838400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142116916838400 is the 11921280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142116916838400

142116916838400 is an abundant number, since it is smaller than the sum of its proper divisors (450745226747949).

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

142116916838400 is an frugal number, since it uses more digits than its factorization.

142116916838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 142116916838400 in words is "one hundred forty-two trillion, one hundred sixteen billion, nine hundred sixteen million, eight hundred thirty-eight thousand, four hundred".