4417963667649 has 48 divisors (see below), whose sum is σ = 7567297815168. Its totient is φ = 2523203851392.

The previous prime is 4417963667599. The next prime is 4417963667657. The reversal of 4417963667649 is 9467663697144.

4417963667649 is a `hidden beast` number, since 4 + 417 + 96 + 3 + 6 + 67 + 64 + 9 = 666.

It is not a de Polignac number, because 4417963667649 - 2⁷ = 4417963667521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4417963667669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2500909 + ... + 3884645.

It is an arithmetic number, because the mean of its divisors is an integer number (157652037816).

Almost surely, 2^{4417963667649} is an apocalyptic number.

It is an amenable number.

4417963667649 is a deficient number, since it is larger than the sum of its proper divisors (3149334147519).

4417963667649 is a wasteful number, since it uses less digits than its factorization.

4417963667649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385636 (or 1385624 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 72.

The spelling of 4417963667649 in words is "four trillion, four hundred seventeen billion, nine hundred sixty-three million, six hundred sixty-seven thousand, six hundred forty-nine".