1022115415104 has 168 divisors, whose sum is σ = 3362251726080. Its totient is φ = 290810806272.

The previous prime is 1022115415103. The next prime is 1022115415141. The reversal of 1022115415104 is 4015145112201.

1022115415104 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 11 + 541 + 5 + 104 = 666.

1022115415104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (1022115415103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433312 + ... + 1493984.

Almost surely, 2^{1022115415104} is an apocalyptic number.

1022115415104 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 1022115415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681125863040).

1022115415104 is an abundant number, since it is smaller than the sum of its proper divisors (2340136310976).

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

1022115415104 is a wasteful number, since it uses less digits than its factorization.

1022115415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060937 (or 1060924 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 1022115415104 in words is "one trillion, twenty-two billion, one hundred fifteen million, four hundred fifteen thousand, one hundred four".