3922941456000 has 1792 divisors, whose sum is σ = 17447469811200. Its totient is φ = 857276006400.

The previous prime is 3922941455971. The next prime is 3922941456001. The reversal of 3922941456000 is 6541492293.

3922941456000 is a `hidden beast` number, since 3 + 9 + 2 + 29 + 4 + 14 + 5 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3922941456001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1877902956 + ... + 1877905044.

Almost surely, 2^{3922941456000} is an apocalyptic number.

3922941456000 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 3922941456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723734905600).

3922941456000 is an abundant number, since it is smaller than the sum of its proper divisors (13524528355200).

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

3922941456000 is an equidigital number, since it uses as much as digits as its factorization.

3922941456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3922941456000 in words is "three trillion, nine hundred twenty-two billion, nine hundred forty-one million, four hundred fifty-six thousand".