42040245312 has 336 divisors, whose sum is σ = 132027168000. Its totient is φ = 12788665344.

The previous prime is 42040245307. The next prime is 42040245361. The reversal of 42040245312 is 21354204024.

42040245312 is a `hidden beast` number, since 4 + 204 + 0 + 2 + 453 + 1 + 2 = 666.

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, 175900489 + ... + 175900727.

It is an arithmetic number, because the mean of its divisors is an integer number (392938000).

Almost surely, 2^42040245312 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 42040245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66013584000).

42040245312 is an abundant number, since it is smaller than the sum of its proper divisors (89986922688).

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

42040245312 is a wasteful number, since it uses less digits than its factorization.

42040245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 42040245312 its reverse (21354204024), we get a palindrome (63394449336).

The spelling of 42040245312 in words is "forty-two billion, forty million, two hundred forty-five thousand, three hundred twelve".