10004221342320 has 80 divisors (see below), whose sum is σ = 31148514656160. Its totient is φ = 2656142595072.

The previous prime is 10004221342319. The next prime is 10004221342333. The reversal of 10004221342320 is 2324312240001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10004221342320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90958699 + ... + 91068618.

It is an arithmetic number, because the mean of its divisors is an integer number (389356433202).

Almost surely, 2^{10004221342320} is an apocalyptic number.

10004221342320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004221342320 is an abundant number, since it is smaller than the sum of its proper divisors (21144293313840).

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

10004221342320 is a wasteful number, since it uses less digits than its factorization.

10004221342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182027562 (or 182027556 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10004221342320 its reverse (2324312240001), we get a palindrome (12328533582321).

The spelling of 10004221342320 in words is "ten trillion, four billion, two hundred twenty-one million, three hundred forty-two thousand, three hundred twenty".