42049631160 has 192 divisors, whose sum is σ = 140606837280. Its totient is φ = 10891898880.

The previous prime is 42049631153. The next prime is 42049631171. The reversal of 42049631160 is 6113694024.

42049631160 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 9 + 631 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3432967 + ... + 3445193.

Almost surely, 2^42049631160 is an apocalyptic number.

42049631160 is a gapful number since it is divisible by the number (40) 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 42049631160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70303418640).

42049631160 is an abundant number, since it is smaller than the sum of its proper divisors (98557206120).

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

42049631160 is a wasteful number, since it uses less digits than its factorization.

42049631160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12518 (or 12511 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 42049631160 in words is "forty-two billion, forty-nine million, six hundred thirty-one thousand, one hundred sixty".