444031140300000 has 576 divisors, whose sum is σ = 1590674240832768. Its totient is φ = 107552729600000.

The previous prime is 444031140299921. The next prime is 444031140300001. The reversal of 444031140300000 is 3041130444.

It is a super-2 number, since 2×444031140300000² (a number of 30 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 not an unprimeable number, because it can be changed into a prime (444031140300001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3936843607 + ... + 3936956393.

It is an arithmetic number, because the mean of its divisors is an integer number (2761587223668).

Almost surely, 2^{444031140300000} is an apocalyptic number.

444031140300000 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 444031140300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795337120416384).

444031140300000 is an abundant number, since it is smaller than the sum of its proper divisors (1146643100532768).

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

444031140300000 is a wasteful number, since it uses less digits than its factorization.

444031140300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114029 (or 114001 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 444031140300000 its reverse (3041130444), we get a palindrome (444034181430444).

The spelling of 444031140300000 in words is "four hundred forty-four trillion, thirty-one billion, one hundred forty million, three hundred thousand".