4714513440 has 576 divisors, whose sum is σ = 19720278144. Its totient is φ = 935165952.

The previous prime is 4714513403. The next prime is 4714513469. The reversal of 4714513440 is 443154174.

It is a super-3 number, since 3×4714513440³ (a number of 30 digits) contains 333 as substring.

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, 5197467 + ... + 5198373.

It is an arithmetic number, because the mean of its divisors is an integer number (34236594).

Almost surely, 2^4714513440 is an apocalyptic number.

4714513440 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 4714513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9860139072).

4714513440 is an abundant number, since it is smaller than the sum of its proper divisors (15005764704).

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

4714513440 is a wasteful number, since it uses less digits than its factorization.

4714513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4714513440 is about 68662.3145546376. The cubic root of 4714513440 is about 1676.7910969228.

The spelling of 4714513440 in words is "four billion, seven hundred fourteen million, five hundred thirteen thousand, four hundred forty".