416241275424 has 96 divisors (see below), whose sum is σ = 1180466711424. Its totient is φ = 127662305280.

The previous prime is 416241275413. The next prime is 416241275449. The reversal of 416241275424 is 424572142614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×416241275424³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148089 + ... + 924344.

It is an arithmetic number, because the mean of its divisors is an integer number (12296528244).

Almost surely, 2^416241275424 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 416241275424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590233355712).

416241275424 is an abundant number, since it is smaller than the sum of its proper divisors (764225436000).

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

416241275424 is a wasteful number, since it uses less digits than its factorization.

416241275424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072770 (or 1072762 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The spelling of 416241275424 in words is "four hundred sixteen billion, two hundred forty-one million, two hundred seventy-five thousand, four hundred twenty-four".