4927104000 has 1056 divisors, whose sum is σ = 22317474816. Its totient is φ = 1017446400.

The previous prime is 4927103971. The next prime is 4927104019. The reversal of 4927104000 is 4017294.

It is a happy number.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104831977 + ... + 104832023.

Almost surely, 2^4927104000 is an apocalyptic number.

4927104000 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 4927104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158737408).

4927104000 is an abundant number, since it is smaller than the sum of its proper divisors (17390370816).

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

4927104000 is a wasteful number, since it uses less digits than its factorization.

4927104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4927104000 is about 70193.3330167474. Note that the first 3 decimals coincide. The cubic root of 4927104000 is about 1701.6252047435.

The spelling of 4927104000 in words is "four billion, nine hundred twenty-seven million, one hundred four thousand".