4434402212320 has 192 divisors, whose sum is σ = 11446057740096. Its totient is φ = 1616810475520.

The previous prime is 4434402212293. The next prime is 4434402212321. The reversal of 4434402212320 is 232122044344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434402212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15133119 + ... + 15423361.

It is an arithmetic number, because the mean of its divisors is an integer number (59614884063).

Almost surely, 2^{4434402212320} is an apocalyptic number.

4434402212320 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 4434402212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723028870048).

4434402212320 is an abundant number, since it is smaller than the sum of its proper divisors (7011655527776).

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

4434402212320 is a wasteful number, since it uses less digits than its factorization.

4434402212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290453 (or 290445 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 4434402212320 its reverse (232122044344), we get a palindrome (4666524256664).

The spelling of 4434402212320 in words is "four trillion, four hundred thirty-four billion, four hundred two million, two hundred twelve thousand, three hundred twenty".