4440010133000 has 128 divisors (see below), whose sum is σ = 11190927777120. Its totient is φ = 1639080345600.

The previous prime is 4440010132937. The next prime is 4440010133047. The reversal of 4440010133000 is 3310100444.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2103323044 + 4437906809956 = 45862^2 + 2106634^2 .

It is a super-2 number, since 2×4440010133000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 76111844 + ... + 76170156.

Almost surely, 2^{4440010133000} is an apocalyptic number.

4440010133000 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 4440010133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595463888560).

4440010133000 is an abundant number, since it is smaller than the sum of its proper divisors (6750917644120).

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

4440010133000 is a wasteful number, since it uses less digits than its factorization.

4440010133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64204 (or 64190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4440010133000 its reverse (3310100444), we get a palindrome (4443320233444).

The spelling of 4440010133000 in words is "four trillion, four hundred forty billion, ten million, one hundred thirty-three thousand".