4434100440000 has 560 divisors, whose sum is σ = 18277653478656. Its totient is φ = 921369600000.

The previous prime is 4434100439981. The next prime is 4434100440023. The reversal of 4434100440000 is 440014344.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×4434100440000² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9000060 + ... + 9479940.

Almost surely, 2^{4434100440000} is an apocalyptic number.

4434100440000 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 4434100440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9138826739328).

4434100440000 is an abundant number, since it is smaller than the sum of its proper divisors (13843553038656).

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

4434100440000 is a wasteful number, since it uses less digits than its factorization.

4434100440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479934 (or 479909 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4434100440000 its reverse (440014344), we get a palindrome (4434540454344).

The spelling of 4434100440000 in words is "four trillion, four hundred thirty-four billion, one hundred million, four hundred forty thousand".