416685491599104 has 1440 divisors, whose sum is σ = 1537020284405760. Its totient is φ = 109335435116544.

The previous prime is 416685491599087. The next prime is 416685491599189. The reversal of 416685491599104 is 401995194586614.

416685491599104 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 85 + 491 + 59 + 9 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 560814927757 + ... + 560814928499.

It is an arithmetic number, because the mean of its divisors is an integer number (1067375197504).

Almost surely, 2^{416685491599104} 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 416685491599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768510142202880).

416685491599104 is an abundant number, since it is smaller than the sum of its proper divisors (1120334792806656).

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

416685491599104 is a wasteful number, since it uses less digits than its factorization.

416685491599104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 416685491599104 in words is "four hundred sixteen trillion, six hundred eighty-five billion, four hundred ninety-one million, five hundred ninety-nine thousand, one hundred four".