414014002401 has 8 divisors (see below), whose sum is σ = 552441030624. Its totient is φ = 275798154560.

The previous prime is 414014002393. The next prime is 414014002411. The reversal of 414014002401 is 104200410414.

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 414014002401 - 2³ = 414014002393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414014002411) 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, 52790520 + ... + 52798361.

It is an arithmetic number, because the mean of its divisors is an integer number (69055128828).

Almost surely, 2^414014002401 is an apocalyptic number.

It is an amenable number.

414014002401 is a deficient number, since it is larger than the sum of its proper divisors (138427028223).

414014002401 is a wasteful number, since it uses less digits than its factorization.

414014002401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105590191.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 414014002401 its reverse (104200410414), we get a palindrome (518214412815).

The spelling of 414014002401 in words is "four hundred fourteen billion, fourteen million, two thousand, four hundred one".