42032232152040 has 256 divisors, whose sum is σ = 136824691610880. Its totient is φ = 10268307947520.

The previous prime is 42032232152021. The next prime is 42032232152047. The reversal of 42032232152040 is 4025123223024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42032232151989 and 42032232152007.

It is not an unprimeable number, because it can be changed into a prime (42032232152047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126588879 + ... + 126920481.

It is an arithmetic number, because the mean of its divisors is an integer number (534471451605).

Almost surely, 2^{42032232152040} is an apocalyptic number.

42032232152040 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 42032232152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68412345805440).

42032232152040 is an abundant number, since it is smaller than the sum of its proper divisors (94792459458840).

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

42032232152040 is a wasteful number, since it uses less digits than its factorization.

42032232152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332244 (or 332240 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42032232152040 its reverse (4025123223024), we get a palindrome (46057355375064).

The spelling of 42032232152040 in words is "forty-two trillion, thirty-two billion, two hundred thirty-two million, one hundred fifty-two thousand, forty".