4400111020032 has 2880 divisors, whose sum is σ = 18413386992000. Its totient is φ = 1015330111488.

The previous prime is 4400111020027. The next prime is 4400111020033. The reversal of 4400111020032 is 2300201110044.

4400111020032 is a `hidden beast` number, since 440 + 0 + 11 + 10 + 200 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4400111019987 and 4400111020014.

It is not an unprimeable number, because it can be changed into a prime (4400111020033) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 151727966194 + ... + 151727966222.

It is an arithmetic number, because the mean of its divisors is an integer number (6393537150).

Almost surely, 2^{4400111020032} is an apocalyptic number.

4400111020032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400111020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206693496000).

4400111020032 is an abundant number, since it is smaller than the sum of its proper divisors (14013275971968).

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

4400111020032 is a wasteful number, since it uses less digits than its factorization.

4400111020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4400111020032 its reverse (2300201110044), we get a palindrome (6700312130076).

The spelling of 4400111020032 in words is "four trillion, four hundred billion, one hundred eleven million, twenty thousand, thirty-two".