1022716506240 has 2048 divisors, whose sum is σ = 4474552320000. Its totient is φ = 218673561600.

The previous prime is 1022716506233. The next prime is 1022716506247. The reversal of 1022716506240 is 426056172201.

It is a happy number.

1022716506240 is a `hidden beast` number, since 1 + 0 + 2 + 27 + 1 + 6 + 5 + 0 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1022716506233) and next prime (1022716506247).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1022716506195 and 1022716506204.

It is not an unprimeable number, because it can be changed into a prime (1022716506247) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 12945778521 + ... + 12945778599.

It is an arithmetic number, because the mean of its divisors is an integer number (2184840000).

Almost surely, 2^{1022716506240} is an apocalyptic number.

1022716506240 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 1022716506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237276160000).

1022716506240 is an abundant number, since it is smaller than the sum of its proper divisors (3451835813760).

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

1022716506240 is a wasteful number, since it uses less digits than its factorization.

1022716506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1022716506240 in words is "one trillion, twenty-two billion, seven hundred sixteen million, five hundred six thousand, two hundred forty".