3971961113120 has 2592 divisors, whose sum is σ = 14641915591296. Its totient is φ = 1003703500800.

The previous prime is 3971961113093. The next prime is 3971961113177. The reversal of 3971961113120 is 213111691793.

It is a super-2 number, since 2×3971961113120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 431 ways as a sum of consecutive naturals, for example, 96877100300 + ... + 96877100340.

It is an arithmetic number, because the mean of its divisors is an integer number (5648887188).

Almost surely, 2^{3971961113120} 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 3971961113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320957795648).

3971961113120 is an abundant number, since it is smaller than the sum of its proper divisors (10669954478176).

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

3971961113120 is a wasteful number, since it uses less digits than its factorization.

3971961113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 44.

The spelling of 3971961113120 in words is "three trillion, nine hundred seventy-one billion, nine hundred sixty-one million, one hundred thirteen thousand, one hundred twenty".