1002225115440 has 160 divisors (see below), whose sum is σ = 3452439744000. Its totient is φ = 267234405120.

The previous prime is 1002225115439. The next prime is 1002225115457. The reversal of 1002225115440 is 445115222001.

It is a happy number.

1002225115440 is a `hidden beast` number, since 100 + 2 + 2 + 2 + 5 + 11 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36038661 + ... + 36066459.

It is an arithmetic number, because the mean of its divisors is an integer number (21577748400).

Almost surely, 2^{1002225115440} is an apocalyptic number.

1002225115440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002225115440 is an abundant number, since it is smaller than the sum of its proper divisors (2450214628560).

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

1002225115440 is a wasteful number, since it uses less digits than its factorization.

1002225115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44512 (or 44500 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 1002225115440 in words is "one trillion, two billion, two hundred twenty-five million, one hundred fifteen thousand, four hundred forty".