44742955680 has 288 divisors, whose sum is σ = 155286331200. Its totient is φ = 11730001920.

The previous prime is 44742955669. The next prime is 44742955687. The reversal of 44742955680 is 8655924744.

44742955680 is a `hidden beast` number, since 4 + 4 + 7 + 4 + 2 + 9 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (44742955687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21315271 + ... + 21317369.

It is an arithmetic number, because the mean of its divisors is an integer number (539188650).

Almost surely, 2^44742955680 is an apocalyptic number.

44742955680 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 44742955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77643165600).

44742955680 is an abundant number, since it is smaller than the sum of its proper divisors (110543375520).

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

44742955680 is a wasteful number, since it uses less digits than its factorization.

44742955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 44742955680 in words is "forty-four billion, seven hundred forty-two million, nine hundred fifty-five thousand, six hundred eighty".