44021430440 has 128 divisors (see below), whose sum is σ = 111678134400. Its totient is φ = 15504061440.

The previous prime is 44021430347. The next prime is 44021430443. The reversal of 44021430440 is 4403412044.

It is a happy number.

It is a super-3 number, since 3×44021430440³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (44021430443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1234055 + ... + 1269225.

It is an arithmetic number, because the mean of its divisors is an integer number (872485425).

Almost surely, 2^44021430440 is an apocalyptic number.

44021430440 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 44021430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55839067200).

44021430440 is an abundant number, since it is smaller than the sum of its proper divisors (67656703960).

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

44021430440 is a wasteful number, since it uses less digits than its factorization.

44021430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35307 (or 35303 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 44021430440 its reverse (4403412044), we get a palindrome (48424842484).

The spelling of 44021430440 in words is "forty-four billion, twenty-one million, four hundred thirty thousand, four hundred forty".