4010414312401 has 40 divisors (see below), whose sum is σ = 4761738093600. Its totient is φ = 3376463791680.

The previous prime is 4010414312383. The next prime is 4010414312423. The reversal of 4010414312401 is 1042134140104.

It is not a de Polignac number, because 4010414312401 - 2²³ = 4010405923793 is a prime.

It is a super-2 number, since 2×4010414312401² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4010414312431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182870805 + ... + 182892733.

It is an arithmetic number, because the mean of its divisors is an integer number (119043452340).

Almost surely, 2^{4010414312401} is an apocalyptic number.

It is an amenable number.

4010414312401 is a deficient number, since it is larger than the sum of its proper divisors (751323781199).

4010414312401 is an equidigital number, since it uses as much as digits as its factorization.

4010414312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23307 (or 23286 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 4010414312401 its reverse (1042134140104), we get a palindrome (5052548452505).

The spelling of 4010414312401 in words is "four trillion, ten billion, four hundred fourteen million, three hundred twelve thousand, four hundred one".