42405375744 has 288 divisors, whose sum is σ = 131237064000. Its totient is φ = 13488685056.

The previous prime is 42405375743. The next prime is 42405375781. The reversal of 42405375744 is 44757350424.

42405375744 is a `hidden beast` number, since 4 + 2 + 40 + 5 + 37 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 42405375744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42405375743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17838684 + ... + 17841060.

It is an arithmetic number, because the mean of its divisors is an integer number (455684250).

Almost surely, 2^42405375744 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 42405375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65618532000).

42405375744 is an abundant number, since it is smaller than the sum of its proper divisors (88831688256).

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

42405375744 is a wasteful number, since it uses less digits than its factorization.

42405375744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 42405375744 in words is "forty-two billion, four hundred five million, three hundred seventy-five thousand, seven hundred forty-four".