42487934457024 has 280 divisors, whose sum is σ = 144975612024320. Its totient is φ = 12052074530304.

The previous prime is 42487934456971. The next prime is 42487934457049. The reversal of 42487934457024 is 42075443978424.

It is a happy number.

42487934457024 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 7 + 9 + 34 + 4 + 570 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 832329 + ... + 9255735.

It is an arithmetic number, because the mean of its divisors is an integer number (517770042944).

Almost surely, 2^{42487934457024} 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 42487934457024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72487806012160).

42487934457024 is an abundant number, since it is smaller than the sum of its proper divisors (102487677567296).

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

42487934457024 is a wasteful number, since it uses less digits than its factorization.

42487934457024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8423577 (or 8423558 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 42487934457024 in words is "forty-two trillion, four hundred eighty-seven billion, nine hundred thirty-four million, four hundred fifty-seven thousand, twenty-four".