10342189996320 has 768 divisors, whose sum is σ = 42317683752960. Its totient is φ = 2061780811776.

The previous prime is 10342189996291. The next prime is 10342189996321. The reversal of 10342189996320 is 2369998124301.

It is a super-2 number, since 2×10342189996320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (10342189996321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317843092 + ... + 317875628.

It is an arithmetic number, because the mean of its divisors is an integer number (55101150720).

Almost surely, 2^{10342189996320} is an apocalyptic number.

10342189996320 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 10342189996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21158841876480).

10342189996320 is an abundant number, since it is smaller than the sum of its proper divisors (31975493756640).

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

10342189996320 is a wasteful number, since it uses less digits than its factorization.

10342189996320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32977 (or 32969 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 10342189996320 in words is "ten trillion, three hundred forty-two billion, one hundred eighty-nine million, nine hundred ninety-six thousand, three hundred twenty".