10002269344320 has 1792 divisors, whose sum is σ = 43068011765760. Its totient is φ = 2182276546560.

The previous prime is 10002269344139. The next prime is 10002269344321. The reversal of 10002269344320 is 2344396220001.

10002269344320 is a `hidden beast` number, since 100 + 0 + 2 + 2 + 6 + 93 + 443 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10002269344321) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 3010010179 + ... + 3010013501.

Almost surely, 2^{10002269344320} is an apocalyptic number.

10002269344320 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 10002269344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21534005882880).

10002269344320 is an abundant number, since it is smaller than the sum of its proper divisors (33065742421440).

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

10002269344320 is a wasteful number, since it uses less digits than its factorization.

10002269344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10002269344320 in words is "ten trillion, two billion, two hundred sixty-nine million, three hundred forty-four thousand, three hundred twenty".