416180594424 has 128 divisors (see below), whose sum is σ = 1203758115840. Its totient is φ = 117446602752.

The previous prime is 416180594399. The next prime is 416180594437. The reversal of 416180594424 is 424495081614.

It is a super-2 number, since 2×416180594424² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 8171502 + ... + 8222274.

It is an arithmetic number, because the mean of its divisors is an integer number (9404360280).

Almost surely, 2^416180594424 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 416180594424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601879057920).

416180594424 is an abundant number, since it is smaller than the sum of its proper divisors (787577521416).

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

416180594424 is a wasteful number, since it uses less digits than its factorization.

416180594424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51389 (or 51385 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 416180594424 in words is "four hundred sixteen billion, one hundred eighty million, five hundred ninety-four thousand, four hundred twenty-four".