414013155201 has 20 divisors (see below), whose sum is σ = 638414554624. Its totient is φ = 267105259800.

The previous prime is 414013155167. The next prime is 414013155211. The reversal of 414013155201 is 102551310414.

414013155201 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 131 + 5 + 520 + 1 = 666.

It is not a de Polignac number, because 414013155201 - 2¹¹ = 414013153153 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414013155211) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 82437385 + ... + 82442406.

Almost surely, 2^414013155201 is an apocalyptic number.

It is an amenable number.

414013155201 is a deficient number, since it is larger than the sum of its proper divisors (224401399423).

414013155201 is a wasteful number, since it uses less digits than its factorization.

414013155201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164879834 (or 164879825 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 414013155201 its reverse (102551310414), we get a palindrome (516564465615).

The spelling of 414013155201 in words is "four hundred fourteen billion, thirteen million, one hundred fifty-five thousand, two hundred one".