414104565401414 has 32 divisors (see below), whose sum is σ = 638092716206400. Its totient is φ = 201435361205760.

The previous prime is 414104565401249. The next prime is 414104565401437.

414104565401414 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788448802 + ... + 1788680330.

It is an arithmetic number, because the mean of its divisors is an integer number (19940397381450).

Almost surely, 2^{414104565401414} is an apocalyptic number.

414104565401414 is a deficient number, since it is larger than the sum of its proper divisors (223988150804986).

414104565401414 is a wasteful number, since it uses less digits than its factorization.

414104565401414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292688.

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 414104565401414 in words is "four hundred fourteen trillion, one hundred four billion, five hundred sixty-five million, four hundred one thousand, four hundred fourteen".