42332600040 has 128 divisors (see below), whose sum is σ = 130391856000. Its totient is φ = 10988257280.

The previous prime is 42332599979. The next prime is 42332600071. The reversal of 42332600040 is 4000623324.

It is a happy number.

It is a super-2 number, since 2×42332600040² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2199499 + ... + 2218661.

It is an arithmetic number, because the mean of its divisors is an integer number (1018686375).

Almost surely, 2^42332600040 is an apocalyptic number.

42332600040 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 42332600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65195928000).

42332600040 is an abundant number, since it is smaller than the sum of its proper divisors (88059255960).

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

42332600040 is a wasteful number, since it uses less digits than its factorization.

42332600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19667 (or 19663 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The spelling of 42332600040 in words is "forty-two billion, three hundred thirty-two million, six hundred thousand, forty".