416101867776 has 1080 divisors, whose sum is σ = 1552146066240. Its totient is φ = 108301639680.

The previous prime is 416101867771. The next prime is 416101867787. The reversal of 416101867776 is 677768101614.

It is a happy number.

416101867776 is a `hidden beast` number, since 4 + 1 + 610 + 18 + 6 + 7 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (416101867771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2650330290 + ... + 2650330446.

Almost surely, 2^416101867776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416101867776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776073033120).

416101867776 is an abundant number, since it is smaller than the sum of its proper divisors (1136044198464).

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

416101867776 is a wasteful number, since it uses less digits than its factorization.

416101867776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 416101867776 in words is "four hundred sixteen billion, one hundred one million, eight hundred sixty-seven thousand, seven hundred seventy-six".