414003332001 has 8 divisors (see below), whose sum is σ = 630862220224. Its totient is φ = 236573332560.

The previous prime is 414003331981. The next prime is 414003332011. The reversal of 414003332001 is 100233300414.

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

It is not a de Polignac number, because 414003332001 - 2¹⁴ = 414003315617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 19714444381 = 414003332001 / (4 + 1 + 4 + 0 + 0 + 3 + 3 + 3 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414003332011) 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, 9857222170 + ... + 9857222211.

It is an arithmetic number, because the mean of its divisors is an integer number (78857777528).

Almost surely, 2^414003332001 is an apocalyptic number.

It is an amenable number.

414003332001 is a deficient number, since it is larger than the sum of its proper divisors (216858888223).

414003332001 is a wasteful number, since it uses less digits than its factorization.

414003332001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19714444391.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 414003332001 its reverse (100233300414), we get a palindrome (514236632415).

The spelling of 414003332001 in words is "four hundred fourteen billion, three million, three hundred thirty-two thousand, one".