4299805440 has 432 divisors, whose sum is σ = 17264572416. Its totient is φ = 967680000.

The previous prime is 4299805399. The next prime is 4299805441. The reversal of 4299805440 is 445089924.

4299805440 is a `hidden beast` number, since 4 + 29 + 9 + 80 + 544 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4299805441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5725065 + ... + 5725815.

It is an arithmetic number, because the mean of its divisors is an integer number (39964288).

Almost surely, 2^4299805440 is an apocalyptic number.

4299805440 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 4299805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632286208).

4299805440 is an abundant number, since it is smaller than the sum of its proper divisors (12964766976).

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

4299805440 is a wasteful number, since it uses less digits than its factorization.

4299805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4299805440 is about 65572.9017201466. The cubic root of 4299805440 is about 1626.1088056890.

The spelling of 4299805440 in words is "four billion, two hundred ninety-nine million, eight hundred five thousand, four hundred forty".