4116767616000 has 1056 divisors, whose sum is σ = 16528879785600. Its totient is φ = 978311577600.

The previous prime is 4116767615941. The next prime is 4116767616001. The reversal of 4116767616000 is 6167676114.

4116767616000 is a `hidden beast` number, since 411 + 6 + 7 + 6 + 76 + 160 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4116767616001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434299261 + ... + 434308739.

Almost surely, 2^{4116767616000} is an apocalyptic number.

4116767616000 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 4116767616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264439892800).

4116767616000 is an abundant number, since it is smaller than the sum of its proper divisors (12412112169600).

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

4116767616000 is a wasteful number, since it uses less digits than its factorization.

4116767616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9562 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 4116767616000 in words is "four trillion, one hundred sixteen billion, seven hundred sixty-seven million, six hundred sixteen thousand".