4269834240 has 512 divisors, whose sum is σ = 16760183040. Its totient is φ = 905969664.

The previous prime is 4269834229. The next prime is 4269834269. The reversal of 4269834240 is 424389624.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4269834192 and 4269834201.

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, 58490844 + ... + 58490916.

Almost surely, 2^4269834240 is an apocalyptic number.

4269834240 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 4269834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380091520).

4269834240 is an abundant number, since it is smaller than the sum of its proper divisors (12490348800).

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

4269834240 is an equidigital number, since it uses as much as digits as its factorization.

4269834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4269834240 is about 65343.9686581707. The cubic root of 4269834240 is about 1622.3218041355.

The spelling of 4269834240 in words is "four billion, two hundred sixty-nine million, eight hundred thirty-four thousand, two hundred forty".