1022381015040 has 2880 divisors, whose sum is σ = 4946443407360. Its totient is φ = 196199055360.

The previous prime is 1022381015027. The next prime is 1022381015041. The reversal of 1022381015040 is 405101832201.

1022381015040 is a `hidden beast` number, since 1 + 0 + 22 + 38 + 101 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1022381014995 and 1022381015013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022381015041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35254517746 + ... + 35254517774.

It is an arithmetic number, because the mean of its divisors is an integer number (1717515072).

Almost surely, 2^{1022381015040} is an apocalyptic number.

1022381015040 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 1022381015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473221703680).

1022381015040 is an abundant number, since it is smaller than the sum of its proper divisors (3924062392320).

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

1022381015040 is an equidigital number, since it uses as much as digits as its factorization.

1022381015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1022381015040 its reverse (405101832201), we get a palindrome (1427482847241).

The spelling of 1022381015040 in words is "one trillion, twenty-two billion, three hundred eighty-one million, fifteen thousand, forty".