4416513313740 has 384 divisors, whose sum is σ = 14075331379200. Its totient is φ = 1025542748160.

The previous prime is 4416513313727. The next prime is 4416513313777. The reversal of 4416513313740 is 473133156144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4416513313692 and 4416513313701.

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 127 ways as a sum of consecutive naturals, for example, 235928101 + ... + 235946819.

It is an arithmetic number, because the mean of its divisors is an integer number (36654508800).

Almost surely, 2^{4416513313740} 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 4416513313740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037665689600).

4416513313740 is an abundant number, since it is smaller than the sum of its proper divisors (9658818065460).

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

4416513313740 is a wasteful number, since it uses less digits than its factorization.

4416513313740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18957 (or 18955 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

Adding to 4416513313740 its reverse (473133156144), we get a palindrome (4889646469884).

The spelling of 4416513313740 in words is "four trillion, four hundred sixteen billion, five hundred thirteen million, three hundred thirteen thousand, seven hundred forty".