42544704481020 has 576 divisors, whose sum is σ = 151057923674112. Its totient is φ = 9491758848000.

The previous prime is 42544704480923. The next prime is 42544704481067. The reversal of 42544704481020 is 2018440744524.

42544704481020 is a `hidden beast` number, since 4 + 2 + 544 + 7 + 0 + 4 + 4 + 81 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11717074605 + ... + 11717078235.

It is an arithmetic number, because the mean of its divisors is an integer number (262253339712).

Almost surely, 2^{42544704481020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42544704481020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75528961837056).

42544704481020 is an abundant number, since it is smaller than the sum of its proper divisors (108513219193092).

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

42544704481020 is a wasteful number, since it uses less digits than its factorization.

42544704481020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 42544704481020 in words is "forty-two trillion, five hundred forty-four billion, seven hundred four million, four hundred eighty-one thousand, twenty".