3941427096000 has 336 divisors, whose sum is σ = 14292299612448. Its totient is φ = 1036647936000.

The previous prime is 3941427095989. The next prime is 3941427096001. The reversal of 3941427096000 is 6907241493.

It is a happy number.

3941427096000 is a `hidden beast` number, since 3 + 9 + 4 + 14 + 27 + 0 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3941427096001) 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, 4881055 + ... + 5630945.

Almost surely, 2^{3941427096000} is an apocalyptic number.

3941427096000 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 3941427096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146149806224).

3941427096000 is an abundant number, since it is smaller than the sum of its proper divisors (10350872516448).

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

3941427096000 is a wasteful number, since it uses less digits than its factorization.

3941427096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749997 (or 749974 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3941427096000 in words is "three trillion, nine hundred forty-one billion, four hundred twenty-seven million, ninety-six thousand".