197114058240 has 320 divisors, whose sum is σ = 688335943680. Its totient is φ = 47722659840.

The previous prime is 197114058233. The next prime is 197114058259. The reversal of 197114058240 is 42850411791.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×197114058240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 197114058192 and 197114058201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125789937 + ... + 125791503.

It is an arithmetic number, because the mean of its divisors is an integer number (2151049824).

Almost surely, 2^197114058240 is an apocalyptic number.

197114058240 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 197114058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344167971840).

197114058240 is an abundant number, since it is smaller than the sum of its proper divisors (491221885440).

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

197114058240 is a wasteful number, since it uses less digits than its factorization.

197114058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 197114058240 in words is "one hundred ninety-seven billion, one hundred fourteen million, fifty-eight thousand, two hundred forty".