44413427520 has 1890 divisors, whose sum is σ = 214587892134. Its totient is φ = 8685895680.

The previous prime is 44413427473. The next prime is 44413427533. The reversal of 44413427520 is 2572431444.

44413427520 is a `hidden beast` number, since 44 + 41 + 34 + 27 + 520 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14876193024 + 29537234496 = 121968^2 + 171864^2 .

It is a tau number, because it is divible by the number of its divisors (1890).

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

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 269 ways as a sum of consecutive naturals, for example, 2612554552 + ... + 2612554568.

Almost surely, 2^44413427520 is an apocalyptic number.

44413427520 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 44413427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107293946067).

44413427520 is an abundant number, since it is smaller than the sum of its proper divisors (170174464614).

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

44413427520 is a wasteful number, since it uses less digits than its factorization.

44413427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 44413427520 its reverse (2572431444), we get a palindrome (46985858964).

The spelling of 44413427520 in words is "forty-four billion, four hundred thirteen million, four hundred twenty-seven thousand, five hundred twenty".