4416667742760 has 512 divisors, whose sum is σ = 16697910620160. Its totient is φ = 909599072256.

The previous prime is 4416667742731. The next prime is 4416667742819. The reversal of 4416667742760 is 672477666144.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4416667742694 and 4416667742703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1273914547 + ... + 1273918013.

It is an arithmetic number, because the mean of its divisors is an integer number (32613106680).

Almost surely, 2^{4416667742760} is an apocalyptic number.

4416667742760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416667742760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348955310080).

4416667742760 is an abundant number, since it is smaller than the sum of its proper divisors (12281242877400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4416667742760 is a wasteful number, since it uses less digits than its factorization.

4416667742760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 4416667742760 in words is "four trillion, four hundred sixteen billion, six hundred sixty-seven million, seven hundred forty-two thousand, seven hundred sixty".