10189601240 has 256 divisors, whose sum is σ = 29567462400. Its totient is φ = 3073480704.

The previous prime is 10189601207. The next prime is 10189601263. The reversal of 10189601240 is 4210698101.

It is a junction number, because it is equal to n+sod(n) for n = 10189601197 and 10189601206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8760899 + ... + 8762061.

It is an arithmetic number, because the mean of its divisors is an integer number (115497900).

Almost surely, 2^10189601240 is an apocalyptic number.

10189601240 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 10189601240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783731200).

10189601240 is an abundant number, since it is smaller than the sum of its proper divisors (19377861160).

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

10189601240 is a wasteful number, since it uses less digits than its factorization.

10189601240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 10189601240 in words is "ten billion, one hundred eighty-nine million, six hundred one thousand, two hundred forty".