42380011408 has 60 divisors (see below), whose sum is σ = 95934706140. Its totient is φ = 18083471616.

The previous prime is 42380011397. The next prime is 42380011469. The reversal of 42380011408 is 80411008324.

42380011408 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 2 ways, for example, as 38372108544 + 4007902864 = 195888^2 + 63308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42380011408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61510 + ... + 297562.

It is an arithmetic number, because the mean of its divisors is an integer number (1598911769).

Almost surely, 2^42380011408 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 42380011408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47967353070).

42380011408 is an abundant number, since it is smaller than the sum of its proper divisors (53554694732).

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

42380011408 is a wasteful number, since it uses less digits than its factorization.

42380011408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236304 (or 236291 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 42380011408 in words is "forty-two billion, three hundred eighty million, eleven thousand, four hundred eight".