4013220456 has 96 divisors (see below), whose sum is σ = 12545020800. Its totient is φ = 1135267200.

The previous prime is 4013220427. The next prime is 4013220493. The reversal of 4013220456 is 6540223104.

4013220456 is a `hidden beast` number, since 401 + 3 + 2 + 204 + 56 = 666.

It is a super-2 number, since 2×4013220456² = 32211876856913695872, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 11485 + ... + 90323.

It is an arithmetic number, because the mean of its divisors is an integer number (130677300).

Almost surely, 2^4013220456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013220456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272510400).

4013220456 is an abundant number, since it is smaller than the sum of its proper divisors (8531800344).

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

4013220456 is a wasteful number, since it uses less digits than its factorization.

4013220456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78959 (or 78952 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4013220456 is about 63349.9838674013. The cubic root of 4013220456 is about 1589.1479759320.

It can be divided in two parts, 40 and 13220456, that added together give a square (13220496 = 3636²).

The spelling of 4013220456 in words is "four billion, thirteen million, two hundred twenty thousand, four hundred fifty-six".