4404222134400 has 384 divisors, whose sum is σ = 15831155044800. Its totient is φ = 1067286528000.

The previous prime is 4404222134363. The next prime is 4404222134407. The reversal of 4404222134400 is 44312224044.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4404222134407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354915396 + ... + 354927804.

Almost surely, 2^{4404222134400} is an apocalyptic number.

4404222134400 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 4404222134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7915577522400).

4404222134400 is an abundant number, since it is smaller than the sum of its proper divisors (11426932910400).

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

4404222134400 is a wasteful number, since it uses less digits than its factorization.

4404222134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15808 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4404222134400 its reverse (44312224044), we get a palindrome (4448534358444).

The spelling of 4404222134400 in words is "four trillion, four hundred four billion, two hundred twenty-two million, one hundred thirty-four thousand, four hundred".