416774128320 has 672 divisors, whose sum is σ = 1634065864704. Its totient is φ = 96579993600.

The previous prime is 416774128319. The next prime is 416774128333. The reversal of 416774128320 is 23821477614.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81510084 + ... + 81515196.

It is an arithmetic number, because the mean of its divisors is an integer number (2431645632).

Almost surely, 2^416774128320 is an apocalyptic number.

416774128320 is a gapful number since it is divisible by the number (40) 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 416774128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817032932352).

416774128320 is an abundant number, since it is smaller than the sum of its proper divisors (1217291736384).

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

416774128320 is a wasteful number, since it uses less digits than its factorization.

416774128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 416774128320 in words is "four hundred sixteen billion, seven hundred seventy-four million, one hundred twenty-eight thousand, three hundred twenty".