44031412131840 has 1152 divisors, whose sum is σ = 182073798466560. Its totient is φ = 9997074432000.

The previous prime is 44031412131827. The next prime is 44031412131871. The reversal of 44031412131840 is 4813121413044.

44031412131840 is a `hidden beast` number, since 4 + 4 + 0 + 31 + 412 + 131 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44031412131795 and 44031412131804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2630145870 + ... + 2630162610.

It is an arithmetic number, because the mean of its divisors is an integer number (158050172280).

Almost surely, 2^{44031412131840} is an apocalyptic number.

44031412131840 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 44031412131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91036899233280).

44031412131840 is an abundant number, since it is smaller than the sum of its proper divisors (138042386334720).

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

44031412131840 is a wasteful number, since it uses less digits than its factorization.

44031412131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16941 (or 16909 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 44031412131840 its reverse (4813121413044), we get a palindrome (48844533544884).

The spelling of 44031412131840 in words is "forty-four trillion, thirty-one billion, four hundred twelve million, one hundred thirty-one thousand, eight hundred forty".