14197960817040 has 2560 divisors, whose sum is σ = 63419300904960. Its totient is φ = 2532844339200.

The previous prime is 14197960817039. The next prime is 14197960817059. The reversal of 14197960817040 is 4071806979141.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 24865079955 + ... + 24865080525.

It is an arithmetic number, because the mean of its divisors is an integer number (24773164416).

Almost surely, 2^{14197960817040} is an apocalyptic number.

14197960817040 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 14197960817040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31709650452480).

14197960817040 is an abundant number, since it is smaller than the sum of its proper divisors (49221340087920).

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

14197960817040 is a wasteful number, since it uses less digits than its factorization.

14197960817040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 14197960817040 in words is "fourteen trillion, one hundred ninety-seven billion, nine hundred sixty million, eight hundred seventeen thousand, forty".