4400705836800 has 3888 divisors, whose sum is σ = 21013785531648. Its totient is φ = 869518540800.

The previous prime is 4400705836783. The next prime is 4400705836801. The reversal of 4400705836800 is 86385070044.

4400705836800 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 7 + 0 + 583 + 68 + 0 + 0 = 666.

It is a super-4 number, since 4×4400705836800⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400705836801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 60283641564 + ... + 60283641636.

Almost surely, 2^{4400705836800} is an apocalyptic number.

4400705836800 is a gapful number since it is divisible by the number (40) 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 4400705836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506892765824).

4400705836800 is an abundant number, since it is smaller than the sum of its proper divisors (16613079694848).

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

4400705836800 is a wasteful number, since it uses less digits than its factorization.

4400705836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4400705836800 in words is "four trillion, four hundred billion, seven hundred five million, eight hundred thirty-six thousand, eight hundred".