142744070976000 has 1280 divisors, whose sum is σ = 530757004377600. Its totient is φ = 33794654208000.

The previous prime is 142744070975927. The next prime is 142744070976011. The reversal of 142744070976000 is 679070447241.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19471292335 + ... + 19471299665.

It is an arithmetic number, because the mean of its divisors is an integer number (414653909670).

Almost surely, 2^{142744070976000} is an apocalyptic number.

142744070976000 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 142744070976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265378502188800).

142744070976000 is an abundant number, since it is smaller than the sum of its proper divisors (388012933401600).

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

142744070976000 is a wasteful number, since it uses less digits than its factorization.

142744070976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 142744070976000 in words is "one hundred forty-two trillion, seven hundred forty-four billion, seventy million, nine hundred seventy-six thousand".