416233314744 has 256 divisors, whose sum is σ = 1205197056000. Its totient is φ = 118653050880.

The previous prime is 416233314719. The next prime is 416233314821. The reversal of 416233314744 is 447413332614.

It is a junction number, because it is equal to n+sod(n) for n = 416233314696 and 416233314705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158805754 + ... + 158808374.

It is an arithmetic number, because the mean of its divisors is an integer number (4707801000).

Almost surely, 2^416233314744 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 416233314744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602598528000).

416233314744 is an abundant number, since it is smaller than the sum of its proper divisors (788963741256).

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

416233314744 is a wasteful number, since it uses less digits than its factorization.

416233314744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3114 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The spelling of 416233314744 in words is "four hundred sixteen billion, two hundred thirty-three million, three hundred fourteen thousand, seven hundred forty-four".