1002225113442 has 192 divisors, whose sum is σ = 2614346219520. Its totient is φ = 278786171520.

The previous prime is 1002225113441. The next prime is 1002225113443. The reversal of 1002225113442 is 2443115222001.

1002225113442 is a `hidden beast` number, since 100 + 2 + 2 + 2 + 5 + 113 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (1002225113441) and next prime (1002225113443).

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

It is not an unprimeable number, because it can be changed into a prime (1002225113441) 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 95 ways as a sum of consecutive naturals, for example, 372989023 + ... + 372991709.

It is an arithmetic number, because the mean of its divisors is an integer number (13616386560).

Almost surely, 2^{1002225113442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002225113442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307173109760).

1002225113442 is an abundant number, since it is smaller than the sum of its proper divisors (1612121106078).

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

1002225113442 is a wasteful number, since it uses less digits than its factorization.

1002225113442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1002225113442 in words is "one trillion, two billion, two hundred twenty-five million, one hundred thirteen thousand, four hundred forty-two".