4400535105330 has 256 divisors, whose sum is σ = 13059515298816. Its totient is φ = 924112650240.

The previous prime is 4400535105311. The next prime is 4400535105341. The reversal of 4400535105330 is 335015350044.

It is a junction number, because it is equal to n+sod(n) for n = 4400535105291 and 4400535105300.

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, 1678951420 + ... + 1678954040.

It is an arithmetic number, because the mean of its divisors is an integer number (51013731636).

Almost surely, 2^{4400535105330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400535105330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529757649408).

4400535105330 is an abundant number, since it is smaller than the sum of its proper divisors (8658980193486).

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

4400535105330 is a wasteful number, since it uses less digits than its factorization.

4400535105330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301.

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 4400535105330 in words is "four trillion, four hundred billion, five hundred thirty-five million, one hundred five thousand, three hundred thirty".