4741748000 has 288 divisors, whose sum is σ = 13066011504. Its totient is φ = 1689600000.

The previous prime is 4741747961. The next prime is 4741748027. The reversal of 4741748000 is 8471474.

It can be written as a sum of positive squares in 8 ways, for example, as 887324944 + 3854423056 = 29788^2 + 62084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46947950 + ... + 46948050.

Almost surely, 2^4741748000 is an apocalyptic number.

4741748000 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 4741748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533005752).

4741748000 is an abundant number, since it is smaller than the sum of its proper divisors (8324263504).

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

4741748000 is a wasteful number, since it uses less digits than its factorization.

4741748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 4741748000 is about 68860.3514368029. The cubic root of 4741748000 is about 1680.0136998127.

The spelling of 4741748000 in words is "four billion, seven hundred forty-one million, seven hundred forty-eight thousand".