3942793895040 has 6144 divisors, whose sum is σ = 21077773516800. Its totient is φ = 677221171200.

The previous prime is 3942793895011. The next prime is 3942793895041. The reversal of 3942793895040 is 405983972493.

3942793895040 is a `hidden beast` number, since 3 + 9 + 42 + 7 + 9 + 3 + 89 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3942793895041) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 91692881259 + ... + 91692881301.

It is an arithmetic number, because the mean of its divisors is an integer number (3430627200).

Almost surely, 2^{3942793895040} is an apocalyptic number.

3942793895040 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 3942793895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538886758400).

3942793895040 is an abundant number, since it is smaller than the sum of its proper divisors (17134979621760).

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

3942793895040 is a wasteful number, since it uses less digits than its factorization.

3942793895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3942793895040 in words is "three trillion, nine hundred forty-two billion, seven hundred ninety-three million, eight hundred ninety-five thousand, forty".