4097354196672 has 336 divisors, whose sum is σ = 13297301506944. Its totient is φ = 1240614144000.

The previous prime is 4097354196659. The next prime is 4097354196757. The reversal of 4097354196672 is 2766914537904.

4097354196672 is a `hidden beast` number, since 4 + 0 + 97 + 3 + 5 + 419 + 66 + 72 = 666.

It is a super-2 number, since 2×4097354196672² (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, 225977047 + ... + 225995177.

It is an arithmetic number, because the mean of its divisors is an integer number (39575302104).

Almost surely, 2^{4097354196672} 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 4097354196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648650753472).

4097354196672 is an abundant number, since it is smaller than the sum of its proper divisors (9199947310272).

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

4097354196672 is a wasteful number, since it uses less digits than its factorization.

4097354196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19490 (or 19468 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 4097354196672 in words is "four trillion, ninety-seven billion, three hundred fifty-four million, one hundred ninety-six thousand, six hundred seventy-two".