40416221257717 has 8 divisors (see below), whose sum is σ = 41395773663200. Its totient is φ = 39447737241264.

The previous prime is 40416221257703. The next prime is 40416221257723. The reversal of 40416221257717 is 71775212261404.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40416221257717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40416221257747) 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, 2767089867 + ... + 2767104472.

It is an arithmetic number, because the mean of its divisors is an integer number (5174471707900).

Almost surely, 2^{40416221257717} is an apocalyptic number.

It is an amenable number.

40416221257717 is a deficient number, since it is larger than the sum of its proper divisors (979552405483).

40416221257717 is a wasteful number, since it uses less digits than its factorization.

40416221257717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534194515.

The product of its (nonzero) digits is 1317120, while the sum is 49.

The spelling of 40416221257717 in words is "forty trillion, four hundred sixteen billion, two hundred twenty-one million, two hundred fifty-seven thousand, seven hundred seventeen".