44161920 has 384 divisors, whose sum is σ = 180442080. Its totient is φ = 9830400.

The previous prime is 44161919. The next prime is 44161927. The reversal of 44161920 is 2916144.

44161920 is a `hidden beast` number, since 4 + 41 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44161927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077100 + ... + 1077140.

Almost surely, 2^44161920 is an apocalyptic number.

44161920 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 44161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90221040).

44161920 is an abundant number, since it is smaller than the sum of its proper divisors (136280160).

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

44161920 is a wasteful number, since it uses less digits than its factorization.

44161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 44161920 is about 6645.4435517879. The cubic root of 44161920 is about 353.4673594630.

It can be divided in two parts, 4416 and 1920, that added together give a palindrome (6336).

The spelling of 44161920 in words is "forty-four million, one hundred sixty-one thousand, nine hundred twenty".