42379600032 has 384 divisors, whose sum is σ = 159086592000. Its totient is φ = 10652083200.

The previous prime is 42379599991. The next prime is 42379600037. The reversal of 42379600032 is 23000697324.

It is a happy number.

42379600032 is a `hidden beast` number, since 42 + 3 + 7 + 9 + 600 + 0 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42379600032.

It is not an unprimeable number, because it can be changed into a prime (42379600037) 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, 2052094 + ... + 2072642.

It is an arithmetic number, because the mean of its divisors is an integer number (414288000).

Almost surely, 2^42379600032 is an apocalyptic number.

42379600032 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 42379600032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79543296000).

42379600032 is an abundant number, since it is smaller than the sum of its proper divisors (116706991968).

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

42379600032 is a wasteful number, since it uses less digits than its factorization.

42379600032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20617 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

It can be divided in two parts, 42379 and 600032, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 42379600032 in words is "forty-two billion, three hundred seventy-nine million, six hundred thousand, thirty-two".