42044853312 has 672 divisors, whose sum is σ = 157500645120. Its totient is φ = 10404495360.

The previous prime is 42044853269. The next prime is 42044853313. The reversal of 42044853312 is 21335844024.

It is a tau number, because it is divible by the number of its divisors (672).

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 (42044853313) 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, 124762008 + ... + 124762344.

It is an arithmetic number, because the mean of its divisors is an integer number (234375960).

Almost surely, 2^42044853312 is an apocalyptic number.

42044853312 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 42044853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78750322560).

42044853312 is an abundant number, since it is smaller than the sum of its proper divisors (115455791808).

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

42044853312 is a wasteful number, since it uses less digits than its factorization.

42044853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42044853312 in words is "forty-two billion, forty-four million, eight hundred fifty-three thousand, three hundred twelve".