1020969684000 has 960 divisors, whose sum is σ = 4370503737600. Its totient is φ = 233339097600.

The previous prime is 1020969683971. The next prime is 1020969684001. The reversal of 1020969684000 is 4869690201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020969684001) 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 159 ways as a sum of consecutive naturals, for example, 111127407 + ... + 111136593.

It is an arithmetic number, because the mean of its divisors is an integer number (4552608060).

Almost surely, 2^{1020969684000} is an apocalyptic number.

1020969684000 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 1020969684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185251868800).

1020969684000 is an abundant number, since it is smaller than the sum of its proper divisors (3349534053600).

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

1020969684000 is an frugal number, since it uses more digits than its factorization.

1020969684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1020969684000 in words is "one trillion, twenty billion, nine hundred sixty-nine million, six hundred eighty-four thousand".