4124044432000 has 128 divisors (see below), whose sum is σ = 10257754178880. Its totient is φ = 1648918144000.

The previous prime is 4124044431977. The next prime is 4124044432003. The reversal of 4124044432000 is 2344404214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4124044432000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4124044432000.

It is not an unprimeable number, because it can be changed into a prime (4124044432003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38522547 + ... + 38629453.

Almost surely, 2^{4124044432000} is an apocalyptic number.

4124044432000 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 4124044432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128877089440).

4124044432000 is an abundant number, since it is smaller than the sum of its proper divisors (6133709746880).

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

4124044432000 is a wasteful number, since it uses less digits than its factorization.

4124044432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109347 (or 109325 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4124044432000 its reverse (2344404214), we get a palindrome (4126388836214).

The spelling of 4124044432000 in words is "four trillion, one hundred twenty-four billion, forty-four million, four hundred thirty-two thousand".