4739005440 has 528 divisors, whose sum is σ = 18401187168. Its totient is φ = 1162543104.

The previous prime is 4739005429. The next prime is 4739005451. The reversal of 4739005440 is 445009374.

It is an interprime number because it is at equal distance from previous prime (4739005429) and next prime (4739005451).

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

It is a junction number, because it is equal to n+sod(n) for n = 4739005395 and 4739005404.

It is a congruent number.

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, 16173934 + ... + 16174226.

Almost surely, 2^4739005440 is an apocalyptic number.

4739005440 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 4739005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200593584).

4739005440 is an abundant number, since it is smaller than the sum of its proper divisors (13662181728).

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

4739005440 is a wasteful number, since it uses less digits than its factorization.

4739005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4739005440 is about 68840.4346296564. The cubic root of 4739005440 is about 1679.6897386230.

The spelling of 4739005440 in words is "four billion, seven hundred thirty-nine million, five thousand, four hundred forty".