4432101441000 has 128 divisors (see below), whose sum is σ = 13828965321600. Its totient is φ = 1181824588800.

The previous prime is 4432101440989. The next prime is 4432101441113. The reversal of 4432101441000 is 1441012344.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70387531 + ... + 70450469.

It is an arithmetic number, because the mean of its divisors is an integer number (108038791575).

Almost surely, 2^{4432101441000} is an apocalyptic number.

4432101441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4432101441000 is an abundant number, since it is smaller than the sum of its proper divisors (9396863880600).

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

4432101441000 is a wasteful number, since it uses less digits than its factorization.

4432101441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86436 (or 86422 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4432101441000 its reverse (1441012344), we get a palindrome (4433542453344).

The spelling of 4432101441000 in words is "four trillion, four hundred thirty-two billion, one hundred one million, four hundred forty-one thousand".