416634074880 has 144 divisors (see below), whose sum is σ = 1331196370560. Its totient is φ = 111054721024.

The previous prime is 416634074821. The next prime is 416634074881. The reversal of 416634074880 is 88470436614.

It is a super-2 number, since 2×416634074880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416634074881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9420499 + ... + 9464621.

It is an arithmetic number, because the mean of its divisors is an integer number (9244419240).

Almost surely, 2^416634074880 is an apocalyptic number.

416634074880 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 416634074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665598185280).

416634074880 is an abundant number, since it is smaller than the sum of its proper divisors (914562295680).

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

416634074880 is a wasteful number, since it uses less digits than its factorization.

416634074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46606 (or 46592 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 416634074880 in words is "four hundred sixteen billion, six hundred thirty-four million, seventy-four thousand, eight hundred eighty".