444102131040 has 192 divisors, whose sum is σ = 1410088538880. Its totient is φ = 117483264000.

The previous prime is 444102131029. The next prime is 444102131069. The reversal of 444102131040 is 40131201444.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444102131040.

It is a congruent number.

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, 150185242 + ... + 150188198.

It is an arithmetic number, because the mean of its divisors is an integer number (7344211140).

Almost surely, 2^444102131040 is an apocalyptic number.

444102131040 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 444102131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705044269440).

444102131040 is an abundant number, since it is smaller than the sum of its proper divisors (965986407840).

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

444102131040 is a wasteful number, since it uses less digits than its factorization.

444102131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5357 counting only the distinct ones).

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

Adding to 444102131040 its reverse (40131201444), we get a palindrome (484233332484).

The spelling of 444102131040 in words is "four hundred forty-four billion, one hundred two million, one hundred thirty-one thousand, forty".