2416407516416 has 72 divisors (see below), whose sum is σ = 4839070068840. Its totient is φ = 1204275511296.

The previous prime is 2416407516337. The next prime is 2416407516469. The reversal of 2416407516416 is 6146157046142.

It can be written as a sum of positive squares in 4 ways, for example, as 218186146816 + 2198221369600 = 467104^2 + 1482640^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310229450 + ... + 310237238.

Almost surely, 2^{2416407516416} 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 2416407516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419535034420).

2416407516416 is an abundant number, since it is smaller than the sum of its proper divisors (2422662552424).

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

2416407516416 is an equidigital number, since it uses as much as digits as its factorization.

2416407516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11591 (or 11577 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 2416407516416 in words is "two trillion, four hundred sixteen billion, four hundred seven million, five hundred sixteen thousand, four hundred sixteen".