4400011016016 has 240 divisors, whose sum is σ = 14487534613440. Its totient is φ = 1137867816960.

The previous prime is 4400011015999. The next prime is 4400011016033. The reversal of 4400011016016 is 6106101100044.

It is an interprime number because it is at equal distance from previous prime (4400011015999) and next prime (4400011016033).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5553360 + ... + 6296016.

It is an arithmetic number, because the mean of its divisors is an integer number (60364727556).

Almost surely, 2^{4400011016016} 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 4400011016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7243767306720).

4400011016016 is an abundant number, since it is smaller than the sum of its proper divisors (10087523597424).

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

4400011016016 is a wasteful number, since it uses less digits than its factorization.

4400011016016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742922 (or 742909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 4400011016016 in words is "four trillion, four hundred billion, eleven million, sixteen thousand, sixteen".