42005512032 has 144 divisors (see below), whose sum is σ = 121334489136. Its totient is φ = 12714803200.

The previous prime is 42005512019. The next prime is 42005512061. The reversal of 42005512032 is 23021550024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42005511993 and 42005512011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15808048 + ... + 15810704.

It is an arithmetic number, because the mean of its divisors is an integer number (842600619).

Almost surely, 2^42005512032 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 42005512032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60667244568).

42005512032 is an abundant number, since it is smaller than the sum of its proper divisors (79328977104).

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

42005512032 is a wasteful number, since it uses less digits than its factorization.

42005512032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 42005512032 in words is "forty-two billion, five million, five hundred twelve thousand, thirty-two".