1002225227040 has 432 divisors, whose sum is σ = 3824356273920. Its totient is φ = 238298112000.

The previous prime is 1002225227039. The next prime is 1002225227051. The reversal of 1002225227040 is 407225222001.

1002225227040 is a `hidden beast` number, since 10 + 0 + 2 + 22 + 522 + 70 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1002225226995 and 1002225227013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7843665 + ... + 7970415.

It is an arithmetic number, because the mean of its divisors is an integer number (8852676560).

Almost surely, 2^{1002225227040} is an apocalyptic number.

1002225227040 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 1002225227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912178136960).

1002225227040 is an abundant number, since it is smaller than the sum of its proper divisors (2822131046880).

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

1002225227040 is a wasteful number, since it uses less digits than its factorization.

1002225227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126825 (or 126797 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 1002225227040 in words is "one trillion, two billion, two hundred twenty-five million, two hundred twenty-seven thousand, forty".