4864285440 has 288 divisors, whose sum is σ = 19728360960. Its totient is φ = 1111781376.

The previous prime is 4864285403. The next prime is 4864285457. The reversal of 4864285440 is 445824684.

4864285440 is a `hidden beast` number, since 4 + 86 + 4 + 28 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4864285440² = 47322545683591987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231867 + ... + 251973.

Almost surely, 2^4864285440 is an apocalyptic number.

4864285440 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 4864285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864180480).

4864285440 is an abundant number, since it is smaller than the sum of its proper divisors (14864075520).

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

4864285440 is a wasteful number, since it uses less digits than its factorization.

4864285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20144 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The square root of 4864285440 is about 69744.4294549751. The cubic root of 4864285440 is about 1694.3625765154.

The spelling of 4864285440 in words is "four billion, eight hundred sixty-four million, two hundred eighty-five thousand, four hundred forty".