4794271416000 has 1792 divisors, whose sum is σ = 20118848256000. Its totient is φ = 1120863744000.

The previous prime is 4794271415977. The next prime is 4794271416047. The reversal of 4794271416000 is 6141724974.

4794271416000 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 27 + 14 + 1 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 255 ways as a sum of consecutive naturals, for example, 5581223571 + ... + 5581224429.

Almost surely, 2^{4794271416000} is an apocalyptic number.

4794271416000 is a gapful number since it is divisible by the number (40) 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 4794271416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059424128000).

4794271416000 is an abundant number, since it is smaller than the sum of its proper divisors (15324576840000).

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

4794271416000 is an equidigital number, since it uses as much as digits as its factorization.

4794271416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 4794271416000 in words is "four trillion, seven hundred ninety-four billion, two hundred seventy-one million, four hundred sixteen thousand".