42031834416 has 480 divisors, whose sum is σ = 151778285568. Its totient is φ = 11063070720.

The previous prime is 42031834391. The next prime is 42031834417. The reversal of 42031834416 is 61443813024.

42031834416 is a `hidden beast` number, since 4 + 203 + 1 + 8 + 3 + 441 + 6 = 666.

It is a super-2 number, since 2×42031834416² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42031834417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9449505 + ... + 9453951.

Almost surely, 2^42031834416 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 42031834416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75889142784).

42031834416 is an abundant number, since it is smaller than the sum of its proper divisors (109746451152).

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

42031834416 is a wasteful number, since it uses less digits than its factorization.

42031834416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42031834416 in words is "forty-two billion, thirty-one million, eight hundred thirty-four thousand, four hundred sixteen".