197741020000128 has 512 divisors, whose sum is σ = 588333715200000. Its totient is φ = 58327885701120.

The previous prime is 197741020000127. The next prime is 197741020000129. The reversal of 197741020000128 is 821000020147791.

It is an interprime number because it is at equal distance from previous prime (197741020000127) and next prime (197741020000129).

It is a super-2 number, since 2×197741020000128² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 197741020000128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197741020000127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94207250023 + ... + 94207252121.

It is an arithmetic number, because the mean of its divisors is an integer number (1149089287500).

Almost surely, 2^{197741020000128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197741020000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294166857600000).

197741020000128 is an abundant number, since it is smaller than the sum of its proper divisors (390592695199872).

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

197741020000128 is a wasteful number, since it uses less digits than its factorization.

197741020000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 197741020000128 in words is "one hundred ninety-seven trillion, seven hundred forty-one billion, twenty million, one hundred twenty-eight", and thus it is an aban number.