4400616350340 has 288 divisors, whose sum is σ = 16576404848640. Its totient is φ = 922176057600.

The previous prime is 4400616350329. The next prime is 4400616350413. The reversal of 4400616350340 is 430536160044.

4400616350340 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 616 + 3 + 5 + 0 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4400616350295 and 4400616350304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2222676 + ... + 3706955.

It is an arithmetic number, because the mean of its divisors is an integer number (57556961280).

Almost surely, 2^{4400616350340} is an apocalyptic number.

It is an amenable number.

4400616350340 is an abundant number, since it is smaller than the sum of its proper divisors (12175788498300).

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

4400616350340 is a wasteful number, since it uses less digits than its factorization.

4400616350340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929703 (or 5929698 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 4400616350340 in words is "four trillion, four hundred billion, six hundred sixteen million, three hundred fifty thousand, three hundred forty".