42458781456 has 360 divisors, whose sum is σ = 149341821720. Its totient is φ = 11161608192.

The previous prime is 42458781427. The next prime is 42458781457. The reversal of 42458781456 is 65418785424.

42458781456 is a `hidden beast` number, since 4 + 2 + 4 + 587 + 8 + 1 + 4 + 56 = 666.

42458781456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 70560000 + 42388221456 = 8400^2 + 205884^2 .

It is not an unprimeable number, because it can be changed into a prime (42458781457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39717690 + ... + 39718758.

Almost surely, 2^42458781456 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 42458781456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74670910860).

42458781456 is an abundant number, since it is smaller than the sum of its proper divisors (106883040264).

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

42458781456 is a wasteful number, since it uses less digits than its factorization.

42458781456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1527 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 42458781456 in words is "forty-two billion, four hundred fifty-eight million, seven hundred eighty-one thousand, four hundred fifty-six".