4927419000 has 768 divisors, whose sum is σ = 20870553600. Its totient is φ = 1052352000.

The previous prime is 4927418999. The next prime is 4927419037. The reversal of 4927419000 is 9147294.

It is a super-2 number, since 2×4927419000² = 48558916003122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158948985 + ... + 158949015.

It is an arithmetic number, because the mean of its divisors is an integer number (27175200).

Almost surely, 2^4927419000 is an apocalyptic number.

4927419000 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 4927419000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435276800).

4927419000 is an abundant number, since it is smaller than the sum of its proper divisors (15943134600).

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

4927419000 is a wasteful number, since it uses less digits than its factorization.

4927419000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4927419000 is about 70195.5767837262. The cubic root of 4927419000 is about 1701.6614667828.

The spelling of 4927419000 in words is "four billion, nine hundred twenty-seven million, four hundred nineteen thousand".