444040140304020 has 384 divisors, whose sum is σ = 1381088046514176. Its totient is φ = 105909477986304.

The previous prime is 444040140304003. The next prime is 444040140304039. The reversal of 444040140304020 is 20403041040444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16225372377 + ... + 16225399743.

It is an arithmetic number, because the mean of its divisors is an integer number (3596583454464).

Almost surely, 2^{444040140304020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444040140304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690544023257088).

444040140304020 is an abundant number, since it is smaller than the sum of its proper divisors (937047906210156).

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

444040140304020 is a wasteful number, since it uses less digits than its factorization.

444040140304020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31839 (or 31837 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 444040140304020 its reverse (20403041040444), we get a palindrome (464443181344464).

The spelling of 444040140304020 in words is "four hundred forty-four trillion, forty billion, one hundred forty million, three hundred four thousand, twenty".