42349418496 has 576 divisors, whose sum is σ = 155647215360. Its totient is φ = 10773135360.

The previous prime is 42349418477. The next prime is 42349418519. The reversal of 42349418496 is 69481494324.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75220711 + ... + 75221273.

It is an arithmetic number, because the mean of its divisors is an integer number (270220860).

Almost surely, 2^42349418496 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 42349418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77823607680).

42349418496 is an abundant number, since it is smaller than the sum of its proper divisors (113297796864).

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

42349418496 is a wasteful number, since it uses less digits than its factorization.

42349418496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 639 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 42349418496 in words is "forty-two billion, three hundred forty-nine million, four hundred eighteen thousand, four hundred ninety-six".