42481579140 has 1920 divisors, whose sum is σ = 200644190208. Its totient is φ = 7226081280.

The previous prime is 42481579093. The next prime is 42481579141. The reversal of 42481579140 is 4197518424.

42481579140 is a `hidden beast` number, since 42 + 481 + 5 + 7 + 91 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42481579141) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 634053387 + ... + 634053453.

Almost surely, 2^42481579140 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 42481579140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100322095104).

42481579140 is an abundant number, since it is smaller than the sum of its proper divisors (158162611068).

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

42481579140 is a wasteful number, since it uses less digits than its factorization.

42481579140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 42481579140 in words is "forty-two billion, four hundred eighty-one million, five hundred seventy-nine thousand, one hundred forty".