3961404812160 has 384 divisors, whose sum is σ = 14619288434400. Its totient is φ = 984940412928.

The previous prime is 3961404812153. The next prime is 3961404812171. The reversal of 3961404812160 is 612184041693.

3961404812160 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 4 + 0 + 481 + 2 + 160 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10288396 + ... + 10666484.

Almost surely, 2^{3961404812160} is an apocalyptic number.

3961404812160 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 3961404812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309644217200).

3961404812160 is an abundant number, since it is smaller than the sum of its proper divisors (10657883622240).

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

3961404812160 is a wasteful number, since it uses less digits than its factorization.

3961404812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378238 (or 378223 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3961404812160 in words is "three trillion, nine hundred sixty-one billion, four hundred four million, eight hundred twelve thousand, one hundred sixty".