416289002399 has 8 divisors (see below), whose sum is σ = 425721550080. Its totient is φ = 406880427096.

The previous prime is 416289002383. The next prime is 416289002411. The reversal of 416289002399 is 993200982614.

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 416289002399 - 2⁴ = 416289002383 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416289002399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416289002309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5957969 + ... + 6027434.

It is an arithmetic number, because the mean of its divisors is an integer number (53215193760).

Almost surely, 2^416289002399 is an apocalyptic number.

416289002399 is a deficient number, since it is larger than the sum of its proper divisors (9432547681).

416289002399 is a wasteful number, since it uses less digits than its factorization.

416289002399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11986189.

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 416289002399 in words is "four hundred sixteen billion, two hundred eighty-nine million, two thousand, three hundred ninety-nine".