2441416303872 has 648 divisors, whose sum is σ = 8834200458720. Its totient is φ = 642733056000.

The previous prime is 2441416303849. The next prime is 2441416303889. The reversal of 2441416303872 is 2783036141442.

2441416303872 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 4 + 1 + 630 + 3 + 8 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1084590747 + ... + 1084592997.

Almost surely, 2^{2441416303872} 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 2441416303872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417100229360).

2441416303872 is an abundant number, since it is smaller than the sum of its proper divisors (6392784154848).

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

2441416303872 is a wasteful number, since it uses less digits than its factorization.

2441416303872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2441416303872 in words is "two trillion, four hundred forty-one billion, four hundred sixteen million, three hundred three thousand, eight hundred seventy-two".