1020214333992 has 64 divisors (see below), whose sum is σ = 2982686446080. Its totient is φ = 284710974912.

The previous prime is 1020214333991. The next prime is 1020214334003. The reversal of 1020214333992 is 2993334120201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020214333992.

It is not an unprimeable number, because it can be changed into a prime (1020214333991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70605618 + ... + 70620065.

It is an arithmetic number, because the mean of its divisors is an integer number (46604475720).

Almost surely, 2^{1020214333992} is an apocalyptic number.

1020214333992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020214333992 is an abundant number, since it is smaller than the sum of its proper divisors (1962472112088).

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

1020214333992 is a wasteful number, since it uses less digits than its factorization.

1020214333992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141225742 (or 141225738 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 1020214333992 in words is "one trillion, twenty billion, two hundred fourteen million, three hundred thirty-three thousand, nine hundred ninety-two".