4704935040 has 384 divisors, whose sum is σ = 18422913600. Its totient is φ = 1096851456.

The previous prime is 4704935029. The next prime is 4704935051. The reversal of 4704935040 is 405394074.

It is an interprime number because it is at equal distance from previous prime (4704935029) and next prime (4704935051).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 4704934986 and 4704935004.

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, 1421067 + ... + 1424373.

Almost surely, 2^4704935040 is an apocalyptic number.

4704935040 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 4704935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211456800).

4704935040 is an abundant number, since it is smaller than the sum of its proper divisors (13717978560).

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

4704935040 is a wasteful number, since it uses less digits than its factorization.

4704935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3349 counting only the distinct ones).

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

The square root of 4704935040 is about 68592.5290392474. The cubic root of 4704935040 is about 1675.6547573138.

The spelling of 4704935040 in words is "four billion, seven hundred four million, nine hundred thirty-five thousand, forty".