4013211440 has 80 divisors (see below), whose sum is σ = 10692821568. Its totient is φ = 1372197888.

The previous prime is 4013211439. The next prime is 4013211451. The reversal of 4013211440 is 441123104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4013211440² = 32211732124293747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199274 + ... + 218486.

Almost surely, 2^4013211440 is an apocalyptic number.

4013211440 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 4013211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346410784).

4013211440 is an abundant number, since it is smaller than the sum of its proper divisors (6679610128).

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

4013211440 is a wasteful number, since it uses less digits than its factorization.

4013211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19606 (or 19600 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4013211440 is about 63349.9127071222. The cubic root of 4013211440 is about 1589.1467858845.

Adding to 4013211440 its reverse (441123104), we get a palindrome (4454334544).

The spelling of 4013211440 in words is "four billion, thirteen million, two hundred eleven thousand, four hundred forty".