416242334016 has 252 divisors, whose sum is σ = 1275171643200. Its totient is φ = 129775965696.

The previous prime is 416242333993. The next prime is 416242334041. The reversal of 416242334016 is 610433242614.

416242334016 is a `hidden beast` number, since 4 + 1 + 6 + 242 + 3 + 3 + 401 + 6 = 666.

416242334016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16414275 + ... + 16439613.

Almost surely, 2^416242334016 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 416242334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637585821600).

416242334016 is an abundant number, since it is smaller than the sum of its proper divisors (858929309184).

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

416242334016 is a wasteful number, since it uses less digits than its factorization.

416242334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25474 (or 25442 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 416242334016 in words is "four hundred sixteen billion, two hundred forty-two million, three hundred thirty-four thousand, sixteen".