416289002401 has 4 divisors (see below), whose sum is σ = 416323022404. Its totient is φ = 416254982400.

The previous prime is 416289002383. The next prime is 416289002411. The reversal of 416289002401 is 104200982614.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 73801872225 + 342487130176 = 271665^2 + 585224^2 .

It is a cyclic number.

It is not a de Polignac number, because 416289002401 - 2¹⁷ = 416288871329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416289002411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16991640 + ... + 17016121.

It is an arithmetic number, because the mean of its divisors is an integer number (104080755601).

Almost surely, 2^416289002401 is an apocalyptic number.

It is an amenable number.

416289002401 is a deficient number, since it is larger than the sum of its proper divisors (34020003).

416289002401 is a wasteful number, since it uses less digits than its factorization.

416289002401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34020002.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 416289002401 in words is "four hundred sixteen billion, two hundred eighty-nine million, two thousand, four hundred one".