4021414013331 has 32 divisors (see below), whose sum is σ = 6999197667840. Its totient is φ = 2249742103200.

The previous prime is 4021414013317. The next prime is 4021414013341. The reversal of 4021414013331 is 1333104141204.

4021414013331 is a `hidden beast` number, since 40 + 214 + 1 + 401 + 3 + 3 + 3 + 1 = 666.

4021414013331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4021414013331 - 2³⁷ = 3883975059859 is a prime.

It is a super-2 number, since 2×4021414013331² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4021414013295 and 4021414013304.

It is not an unprimeable number, because it can be changed into a prime (4021414013341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520769775 + ... + 520777496.

It is an arithmetic number, because the mean of its divisors is an integer number (218724927120).

Almost surely, 2^{4021414013331} is an apocalyptic number.

4021414013331 is a deficient number, since it is larger than the sum of its proper divisors (2977783654509).

4021414013331 is a wasteful number, since it uses less digits than its factorization.

4021414013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041547304 (or 1041547298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4021414013331 its reverse (1333104141204), we get a palindrome (5354518154535).

The spelling of 4021414013331 in words is "four trillion, twenty-one billion, four hundred fourteen million, thirteen thousand, three hundred thirty-one".