10197438961024 has 256 divisors, whose sum is σ = 24181568040960. Its totient is φ = 4191458918400.

The previous prime is 10197438961019. The next prime is 10197438961051. The reversal of 10197438961024 is 42016983479101.

It is a super-2 number, since 2×10197438961024² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 3758730292 + ... + 3758733004.

It is an arithmetic number, because the mean of its divisors is an integer number (94459250160).

Almost surely, 2^{10197438961024} is an apocalyptic number.

10197438961024 is a gapful number since it is divisible by the number (14) 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 10197438961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12090784020480).

10197438961024 is an abundant number, since it is smaller than the sum of its proper divisors (13984129079936).

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

10197438961024 is a wasteful number, since it uses less digits than its factorization.

10197438961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 10197438961024 in words is "ten trillion, one hundred ninety-seven billion, four hundred thirty-eight million, nine hundred sixty-one thousand, twenty-four".