44234132203040 has 192 divisors, whose sum is σ = 114448116265056. Its totient is φ = 16057385091072.

The previous prime is 44234132203039. The next prime is 44234132203043. The reversal of 44234132203040 is 4030223143244.

It can be written as a sum of positive squares in 16 ways, for example, as 2428124176 + 44231704078864 = 49276^2 + 6650692^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 44234132202988 and 44234132203006.

It is not an unprimeable number, because it can be changed into a prime (44234132203043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47060552 + ... + 47991288.

Almost surely, 2^{44234132203040} is an apocalyptic number.

44234132203040 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 44234132203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57224058132528).

44234132203040 is an abundant number, since it is smaller than the sum of its proper divisors (70213984062016).

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

44234132203040 is a wasteful number, since it uses less digits than its factorization.

44234132203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931151 (or 931143 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 44234132203040 its reverse (4030223143244), we get a palindrome (48264355346284).

The spelling of 44234132203040 in words is "forty-four trillion, two hundred thirty-four billion, one hundred thirty-two million, two hundred three thousand, forty".