1021990828320 has 1440 divisors, whose sum is σ = 4776812320896. Its totient is φ = 203096678400.

The previous prime is 1021990828291. The next prime is 1021990828321. The reversal of 1021990828320 is 238280991201.

It is a happy number.

1021990828320 is a `hidden beast` number, since 1 + 0 + 219 + 90 + 8 + 28 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (1021990828321) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 160661940 + ... + 160668300.

Almost surely, 2^{1021990828320} is an apocalyptic number.

1021990828320 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 1021990828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388406160448).

1021990828320 is an abundant number, since it is smaller than the sum of its proper divisors (3754821492576).

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

1021990828320 is a wasteful number, since it uses less digits than its factorization.

1021990828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1021990828320 in words is "one trillion, twenty-one billion, nine hundred ninety million, eight hundred twenty-eight thousand, three hundred twenty".