416426163216 has 240 divisors, whose sum is σ = 1270174786944. Its totient is φ = 115079602176.

The previous prime is 416426163191. The next prime is 416426163221. The reversal of 416426163216 is 612361624614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674920540 + ... + 674921156.

Almost surely, 2^416426163216 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 416426163216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635087393472).

416426163216 is an abundant number, since it is smaller than the sum of its proper divisors (853748623728).

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

416426163216 is a wasteful number, since it uses less digits than its factorization.

416426163216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 899 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 416426163216 in words is "four hundred sixteen billion, four hundred twenty-six million, one hundred sixty-three thousand, two hundred sixteen".