3961136256000 has 704 divisors, whose sum is σ = 16427623440384. Its totient is φ = 823087104000.

The previous prime is 3961136255957. The next prime is 3961136256059. The reversal of 3961136256000 is 6526311693.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29501017 + ... + 29634983.

Almost surely, 2^{3961136256000} is an apocalyptic number.

3961136256000 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 3961136256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213811720192).

3961136256000 is an abundant number, since it is smaller than the sum of its proper divisors (12466487184384).

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

3961136256000 is a wasteful number, since it uses less digits than its factorization.

3961136256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134023 (or 133995 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 3961136256000 in words is "three trillion, nine hundred sixty-one billion, one hundred thirty-six million, two hundred fifty-six thousand".