414014011001 has 8 divisors (see below), whose sum is σ = 438508290024. Its totient is φ = 389535344640.

The previous prime is 414014010973. The next prime is 414014011007. The reversal of 414014011001 is 100110410414.

It can be written as a sum of positive squares in 4 ways, for example, as 17523405376 + 396490605625 = 132376^2 + 629675^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414014011001 - 2²² = 414009816697 is a prime.

It is a super-2 number, since 2×414014011001² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414014011007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3848540 + ... + 3954653.

It is an arithmetic number, because the mean of its divisors is an integer number (54813536253).

Almost surely, 2^414014011001 is an apocalyptic number.

It is an amenable number.

414014011001 is a deficient number, since it is larger than the sum of its proper divisors (24494279023).

414014011001 is a wasteful number, since it uses less digits than its factorization.

414014011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7806331.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 414014011001 its reverse (100110410414), we get a palindrome (514124421415).

The spelling of 414014011001 in words is "four hundred fourteen billion, fourteen million, eleven thousand, one".