4463934240 has 96 divisors (see below), whose sum is σ = 14090328000. Its totient is φ = 1187933184.

The previous prime is 4463934221. The next prime is 4463934257. The reversal of 4463934240 is 424393644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230202 + ... + 248838.

It is an arithmetic number, because the mean of its divisors is an integer number (146774250).

Almost surely, 2^4463934240 is an apocalyptic number.

4463934240 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 4463934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045164000).

4463934240 is an abundant number, since it is smaller than the sum of its proper divisors (9626393760).

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

4463934240 is a wasteful number, since it uses less digits than its factorization.

4463934240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19154 (or 19146 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The square root of 4463934240 is about 66812.6802336203. The cubic root of 4463934240 is about 1646.5411768921.

The spelling of 4463934240 in words is "four billion, four hundred sixty-three million, nine hundred thirty-four thousand, two hundred forty".