4097591193600 has 1560 divisors, whose sum is σ = 16193009384640. Its totient is φ = 1025506344960.

The previous prime is 4097591193593. The next prime is 4097591193637. The reversal of 4097591193600 is 63911957904.

4097591193600 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 591 + 19 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38295244747 + ... + 38295244853.

Almost surely, 2^{4097591193600} is an apocalyptic number.

4097591193600 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 4097591193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096504692320).

4097591193600 is an abundant number, since it is smaller than the sum of its proper divisors (12095418191040).

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

4097591193600 is an frugal number, since it uses more digits than its factorization.

4097591193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 4097591193600 in words is "four trillion, ninety-seven billion, five hundred ninety-one million, one hundred ninety-three thousand, six hundred".