4865023440 has 480 divisors, whose sum is σ = 17853428736. Its totient is φ = 1184440320.

The previous prime is 4865023421. The next prime is 4865023451. The reversal of 4865023440 is 443205684.

4865023440 is a `hidden beast` number, since 4 + 86 + 502 + 34 + 40 = 666.

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 = 4865023395 and 4865023404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35511052 + ... + 35511188.

Almost surely, 2^4865023440 is an apocalyptic number.

4865023440 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 4865023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926714368).

4865023440 is an abundant number, since it is smaller than the sum of its proper divisors (12988405296).

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

4865023440 is a wasteful number, since it uses less digits than its factorization.

4865023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4865023440 is about 69749.7199994380. The cubic root of 4865023440 is about 1694.4482606557.

The spelling of 4865023440 in words is "four billion, eight hundred sixty-five million, twenty-three thousand, four hundred forty".