44249640035328 has 2112 divisors, whose sum is σ = 175249401600000. Its totient is φ = 11050744578048.

The previous prime is 44249640035303. The next prime is 44249640035459. The reversal of 44249640035328 is 82353004694244.

44249640035328 is a `hidden beast` number, since 4 + 4 + 2 + 49 + 64 + 0 + 0 + 3 + 532 + 8 = 666.

It is a super-2 number, since 2×44249640035328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21081294823 + ... + 21081296921.

Almost surely, 2^{44249640035328} is an apocalyptic number.

44249640035328 is a gapful number since it is divisible by the number (48) 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 44249640035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87624700800000).

44249640035328 is an abundant number, since it is smaller than the sum of its proper divisors (130999761564672).

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

44249640035328 is a wasteful number, since it uses less digits than its factorization.

44249640035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 44249640035328 in words is "forty-four trillion, two hundred forty-nine billion, six hundred forty million, thirty-five thousand, three hundred twenty-eight".