4267813440 has 448 divisors, whose sum is σ = 15800832000. Its totient is φ = 965099520.

The previous prime is 4267813411. The next prime is 4267813441. The reversal of 4267813440 is 443187624.

It is not an unprimeable number, because it can be changed into a prime (4267813441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17856841 + ... + 17857079.

Almost surely, 2^4267813440 is an apocalyptic number.

4267813440 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 4267813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900416000).

4267813440 is an abundant number, since it is smaller than the sum of its proper divisors (11533018560).

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

4267813440 is a wasteful number, since it uses less digits than its factorization.

4267813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4267813440 is about 65328.5040392018. The cubic root of 4267813440 is about 1622.0658296999.

The spelling of 4267813440 in words is "four billion, two hundred sixty-seven million, eight hundred thirteen thousand, four hundred forty".