4197082458240 has 384 divisors, whose sum is σ = 16796786123520. Its totient is φ = 945820753920.

The previous prime is 4197082458167. The next prime is 4197082458277. The reversal of 4197082458240 is 428542807914.

4197082458240 is a `hidden beast` number, since 4 + 1 + 9 + 70 + 82 + 458 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4197082458240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2129662 + ... + 3595778.

It is an arithmetic number, because the mean of its divisors is an integer number (43741630530).

Almost surely, 2^{4197082458240} is an apocalyptic number.

4197082458240 is a gapful number since it is divisible by the number (40) 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 4197082458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398393061760).

4197082458240 is an abundant number, since it is smaller than the sum of its proper divisors (12599703665280).

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

4197082458240 is a wasteful number, since it uses less digits than its factorization.

4197082458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466220 (or 1466205 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4197082458240 in words is "four trillion, one hundred ninety-seven billion, eighty-two million, four hundred fifty-eight thousand, two hundred forty".