42394207680 has 448 divisors, whose sum is σ = 165197698560. Its totient is φ = 10275517440.

The previous prime is 42394207673. The next prime is 42394207703. The reversal of 42394207680 is 8670249324.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7695487 + ... + 7700993.

Almost surely, 2^42394207680 is an apocalyptic number.

42394207680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42394207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82598849280).

42394207680 is an abundant number, since it is smaller than the sum of its proper divisors (122803490880).

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

42394207680 is an equidigital number, since it uses as much as digits as its factorization.

42394207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42394207680 in words is "forty-two billion, three hundred ninety-four million, two hundred seven thousand, six hundred eighty".