4013218440 has 256 divisors, whose sum is σ = 16678656000. Its totient is φ = 833898240.

The previous prime is 4013218439. The next prime is 4013218463. The reversal of 4013218440 is 448123104.

4013218440 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 218 + 440 = 666.

It is a super-2 number, since 2×4013218440² = 32211844494312067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 59031 + ... + 107289.

It is an arithmetic number, because the mean of its divisors is an integer number (65151000).

Almost surely, 2^4013218440 is an apocalyptic number.

4013218440 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 4013218440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339328000).

4013218440 is an abundant number, since it is smaller than the sum of its proper divisors (12665437560).

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

4013218440 is a wasteful number, since it uses less digits than its factorization.

4013218440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48297 (or 48287 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4013218440 is about 63349.9679557930. The cubic root of 4013218440 is about 1589.1477098345.

The spelling of 4013218440 in words is "four billion, thirteen million, two hundred eighteen thousand, four hundred forty".