416040884727 has 48 divisors (see below), whose sum is σ = 609328512000. Its totient is φ = 252347771520.

The previous prime is 416040884717. The next prime is 416040884729. The reversal of 416040884727 is 727488040614.

It is not a de Polignac number, because 416040884727 - 2⁶ = 416040884663 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416040884727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416040884729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23983077 + ... + 24000417.

It is an arithmetic number, because the mean of its divisors is an integer number (12694344000).

Almost surely, 2^416040884727 is an apocalyptic number.

416040884727 is a deficient number, since it is larger than the sum of its proper divisors (193287627273).

416040884727 is a wasteful number, since it uses less digits than its factorization.

416040884727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18048 (or 18035 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 416040884727 in words is "four hundred sixteen billion, forty million, eight hundred eighty-four thousand, seven hundred twenty-seven".