1012390142976 has 297 divisors, whose sum is σ = 3000228481731. Its totient is φ = 328802217984.

The previous prime is 1012390142923. The next prime is 1012390142977. The reversal of 1012390142976 is 6792410932101.

The square root of 1012390142976 is 1006176.

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

1012390142976 is a `hidden beast` number, since 10 + 123 + 90 + 1 + 429 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1012390142977) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4539866001 + ... + 4539866223.

Almost surely, 2^{1012390142976} is an apocalyptic number.

1012390142976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1012390142976 is the 1006176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012390142976

1012390142976 is an abundant number, since it is smaller than the sum of its proper divisors (1987838338755).

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

1012390142976 is an frugal number, since it uses more digits than its factorization.

1012390142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1012390142976 in words is "one trillion, twelve billion, three hundred ninety million, one hundred forty-two thousand, nine hundred seventy-six".