1022001881824 has 288 divisors, whose sum is σ = 2557555015680. Its totient is φ = 393483847680.

The previous prime is 1022001881819. The next prime is 1022001881921. The reversal of 1022001881824 is 4281881002201.

1022001881824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263289932 + ... + 1263290740.

It is an arithmetic number, because the mean of its divisors is an integer number (8880399360).

Almost surely, 2^{1022001881824} is an apocalyptic number.

1022001881824 is a gapful number since it is divisible by the number (14) 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 1022001881824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278777507840).

1022001881824 is an abundant number, since it is smaller than the sum of its proper divisors (1535553133856).

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

1022001881824 is a wasteful number, since it uses less digits than its factorization.

1022001881824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The spelling of 1022001881824 in words is "one trillion, twenty-two billion, one million, eight hundred eighty-one thousand, eight hundred twenty-four".