414401022013001 has 16 divisors (see below), whose sum is σ = 430745442288000. Its totient is φ = 398327735248128.

The previous prime is 414401022012983. The next prime is 414401022013019. The reversal of 414401022013001 is 100310220104414.

It is an interprime number because it is at equal distance from previous prime (414401022012983) and next prime (414401022013019).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414401022013001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414401022013061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77152700 + ... + 82348898.

It is an arithmetic number, because the mean of its divisors is an integer number (26921590143000).

Almost surely, 2^{414401022013001} is an apocalyptic number.

It is an amenable number.

414401022013001 is a deficient number, since it is larger than the sum of its proper divisors (16344420274999).

414401022013001 is a wasteful number, since it uses less digits than its factorization.

414401022013001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222288.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414401022013001 its reverse (100310220104414), we get a palindrome (514711242117415).

The spelling of 414401022013001 in words is "four hundred fourteen trillion, four hundred one billion, twenty-two million, thirteen thousand, one".