1022225987040 has 384 divisors, whose sum is σ = 3360652001280. Its totient is φ = 260896204800.

The previous prime is 1022225987011. The next prime is 1022225987051. The reversal of 1022225987040 is 407895222201.

It is a junction number, because it is equal to n+sod(n) for n = 1022225986983 and 1022225987001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 791808795 + ... + 791810085.

It is an arithmetic number, because the mean of its divisors is an integer number (8751697920).

Almost surely, 2^{1022225987040} is an apocalyptic number.

1022225987040 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 1022225987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680326000640).

1022225987040 is an abundant number, since it is smaller than the sum of its proper divisors (2338426014240).

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

1022225987040 is a wasteful number, since it uses less digits than its factorization.

1022225987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 1022225987040 in words is "one trillion, twenty-two billion, two hundred twenty-five million, nine hundred eighty-seven thousand, forty".