3997412444160 has 576 divisors, whose sum is σ = 15441454828800. Its totient is φ = 950461267968.

The previous prime is 3997412444147. The next prime is 3997412444161. The reversal of 3997412444160 is 614442147993.

It is a happy number.

3997412444160 is a `hidden beast` number, since 3 + 9 + 9 + 74 + 124 + 441 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 3997412444097 and 3997412444106.

It is not an unprimeable number, because it can be changed into a prime (3997412444161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29700537 + ... + 29834823.

It is an arithmetic number, because the mean of its divisors is an integer number (26808081300).

Almost surely, 2^{3997412444160} is an apocalyptic number.

3997412444160 is a gapful number since it is divisible by the number (30) 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 3997412444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7720727414400).

3997412444160 is an abundant number, since it is smaller than the sum of its proper divisors (11444042384640).

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

3997412444160 is a wasteful number, since it uses less digits than its factorization.

3997412444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134356 (or 134333 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3997412444160 in words is "three trillion, nine hundred ninety-seven billion, four hundred twelve million, four hundred forty-four thousand, one hundred sixty".