4013401333421 has 2 divisors, whose sum is σ = 4013401333422. Its totient is φ = 4013401333420.

The previous prime is 4013401333369. The next prime is 4013401333423. The reversal of 4013401333421 is 1243331043104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2765522436196 + 1247878897225 = 1662986^2 + 1117085^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4013401333421 is a prime.

It is a super-2 number, since 2×4013401333421² (a number of 26 digits) contains 22 as substring.

Together with 4013401333423, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4013401333423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006700666710 + 2006700666711.

It is an arithmetic number, because the mean of its divisors is an integer number (2006700666711).

Almost surely, 2^{4013401333421} is an apocalyptic number.

It is an amenable number.

4013401333421 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013401333421 is an equidigital number, since it uses as much as digits as its factorization.

4013401333421 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 4013401333421 its reverse (1243331043104), we get a palindrome (5256732376525).

The spelling of 4013401333421 in words is "four trillion, thirteen billion, four hundred one million, three hundred thirty-three thousand, four hundred twenty-one".