4434001400 has 96 divisors (see below), whose sum is σ = 10800648000. Its totient is φ = 1690590720.

The previous prime is 4434001381. The next prime is 4434001447. The reversal of 4434001400 is 41004344.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453362 + ... + 463038.

It is an arithmetic number, because the mean of its divisors is an integer number (112506750).

Almost surely, 2^4434001400 is an apocalyptic number.

4434001400 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 4434001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400324000).

4434001400 is an abundant number, since it is smaller than the sum of its proper divisors (6366646600).

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

4434001400 is a wasteful number, since it uses less digits than its factorization.

4434001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9801 (or 9792 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4434001400 is about 66588.2977707044. The cubic root of 4434001400 is about 1642.8526348603.

Adding to 4434001400 its reverse (41004344), we get a palindrome (4475005744).

The spelling of 4434001400 in words is "four billion, four hundred thirty-four million, one thousand, four hundred".