1022805730440 has 768 divisors, whose sum is σ = 3936290641920. Its totient is φ = 237027409920.

The previous prime is 1022805730391. The next prime is 1022805730481. The reversal of 1022805730440 is 440375082201.

It is a happy number.

1022805730440 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 80 + 573 + 0 + 4 + 4 + 0 = 666.

1022805730440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022805730440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1022805730395 and 1022805730404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144931392 + ... + 144938448.

It is an arithmetic number, because the mean of its divisors is an integer number (5125378440).

Almost surely, 2^{1022805730440} is an apocalyptic number.

1022805730440 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 1022805730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968145320960).

1022805730440 is an abundant number, since it is smaller than the sum of its proper divisors (2913484911480).

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

1022805730440 is a wasteful number, since it uses less digits than its factorization.

1022805730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1022805730440 in words is "one trillion, twenty-two billion, eight hundred five million, seven hundred thirty thousand, four hundred forty".