416261622672 has 160 divisors (see below), whose sum is σ = 1365839247360. Its totient is φ = 118903593600.

The previous prime is 416261622661. The next prime is 416261622691. The reversal of 416261622672 is 276226162614.

416261622672 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 616 + 2 + 26 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14957923 + ... + 14985725.

It is an arithmetic number, because the mean of its divisors is an integer number (8536495296).

Almost surely, 2^416261622672 is an apocalyptic number.

416261622672 is a gapful number since it is divisible by the number (42) 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 416261622672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682919623680).

416261622672 is an abundant number, since it is smaller than the sum of its proper divisors (949577624688).

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

416261622672 is a wasteful number, since it uses less digits than its factorization.

416261622672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32778 (or 32766 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 416261622672 in words is "four hundred sixteen billion, two hundred sixty-one million, six hundred twenty-two thousand, six hundred seventy-two".