4012448440 has 256 divisors, whose sum is σ = 12651448320. Its totient is φ = 1103984640.

The previous prime is 4012448399. The next prime is 4012448467. The reversal of 4012448440 is 448442104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 918742 + ... + 923098.

It is an arithmetic number, because the mean of its divisors is an integer number (49419720).

Almost surely, 2^4012448440 is an apocalyptic number.

4012448440 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 4012448440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6325724160).

4012448440 is an abundant number, since it is smaller than the sum of its proper divisors (8638999880).

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

4012448440 is a wasteful number, since it uses less digits than its factorization.

4012448440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

The square root of 4012448440 is about 63343.8903131154. The cubic root of 4012448440 is about 1589.0460688846.

The spelling of 4012448440 in words is "four billion, twelve million, four hundred forty-eight thousand, four hundred forty".