4713841440 has 768 divisors, whose sum is σ = 21180579840. Its totient is φ = 950538240.

The previous prime is 4713841399. The next prime is 4713841459. The reversal of 4713841440 is 441483174.

It is a happy number.

4713841440 is a `hidden beast` number, since 47 + 138 + 41 + 440 = 666.

It is a super-2 number, since 2×4713841440² = 44440602242922547200, which contains 22 as substring.

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 = 4713841395 and 4713841404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12307489 + ... + 12307871.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 2^4713841440 is an apocalyptic number.

4713841440 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 4713841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590289920).

4713841440 is an abundant number, since it is smaller than the sum of its proper divisors (16466738400).

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

4713841440 is a wasteful number, since it uses less digits than its factorization.

4713841440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4713841440 is about 68657.4208662108. The cubic root of 4713841440 is about 1676.7114240027.

The spelling of 4713841440 in words is "four billion, seven hundred thirteen million, eight hundred forty-one thousand, four hundred forty".