1021145032416 has 192 divisors, whose sum is σ = 2933272258560. Its totient is φ = 309650964480.

The previous prime is 1021145032379. The next prime is 1021145032421. The reversal of 1021145032416 is 6142305411201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43446780 + ... + 43470276.

It is an arithmetic number, because the mean of its divisors is an integer number (15277459680).

Almost surely, 2^{1021145032416} is an apocalyptic number.

1021145032416 is a gapful number since it is divisible by the number (16) 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 1021145032416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466636129280).

1021145032416 is an abundant number, since it is smaller than the sum of its proper divisors (1912127226144).

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

1021145032416 is a wasteful number, since it uses less digits than its factorization.

1021145032416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24417 (or 24409 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1021145032416 in words is "one trillion, twenty-one billion, one hundred forty-five million, thirty-two thousand, four hundred sixteen".