142664992070400 has 2268 divisors, whose sum is σ = 559529431636896. Its totient is φ = 35980211404800.

The previous prime is 142664992070351. The next prime is 142664992070441. The reversal of 142664992070400 is 4070299466241.

142664992070400 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 64 + 99 + 20 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 210731154862 + ... + 210731155538.

Almost surely, 2^{142664992070400} is an apocalyptic number.

142664992070400 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 142664992070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279764715818448).

142664992070400 is an abundant number, since it is smaller than the sum of its proper divisors (416864439566496).

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

142664992070400 is an frugal number, since it uses more digits than its factorization.

142664992070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 142664992070400 in words is "one hundred forty-two trillion, six hundred sixty-four billion, nine hundred ninety-two million, seventy thousand, four hundred".