42478368758784 has 1584 divisors, whose sum is σ = 153441345627648. Its totient is φ = 11491045834752.

The previous prime is 42478368758779. The next prime is 42478368758789. The reversal of 42478368758784 is 48785786387424.

42478368758784 is a `hidden beast` number, since 4 + 2 + 478 + 3 + 6 + 8 + 75 + 8 + 78 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42478368758779) and next prime (42478368758789).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42478368758789) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 187129377679 + ... + 187129377905.

Almost surely, 2^{42478368758784} 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 42478368758784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76720672813824).

42478368758784 is an abundant number, since it is smaller than the sum of its proper divisors (110962976868864).

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

42478368758784 is an equidigital number, since it uses as much as digits as its factorization.

42478368758784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 435 counting only the distinct ones).

The product of its digits is 16184770560, while the sum is 81.

The spelling of 42478368758784 in words is "forty-two trillion, four hundred seventy-eight billion, three hundred sixty-eight million, seven hundred fifty-eight thousand, seven hundred eighty-four".