42245961912 has 192 divisors, whose sum is σ = 148919385600. Its totient is φ = 10972946880.

The previous prime is 42245961899. The next prime is 42245961931. The reversal of 42245961912 is 21916954224.

42245961912 is a `hidden beast` number, since 4 + 2 + 2 + 459 + 6 + 191 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 65008 + ... + 297855.

It is an arithmetic number, because the mean of its divisors is an integer number (775621800).

Almost surely, 2^42245961912 is an apocalyptic number.

42245961912 is a gapful number since it is divisible by the number (42) 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 42245961912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74459692800).

42245961912 is an abundant number, since it is smaller than the sum of its proper divisors (106673423688).

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

42245961912 is a wasteful number, since it uses less digits than its factorization.

42245961912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362903 (or 362886 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 42245961912 in words is "forty-two billion, two hundred forty-five million, nine hundred sixty-one thousand, nine hundred twelve".