42002400040 has 16 divisors (see below), whose sum is σ = 94505400180. Its totient is φ = 16800960000.

The previous prime is 42002400023. The next prime is 42002400049. The reversal of 42002400040 is 4000420024.

It can be written as a sum of positive squares in 2 ways, for example, as 39927233124 + 2075166916 = 199818^2 + 45554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42002399987 and 42002400023.

It is not an unprimeable number, because it can be changed into a prime (42002400049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 525029961 + ... + 525030040.

Almost surely, 2^42002400040 is an apocalyptic number.

42002400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002400040 is an abundant number, since it is smaller than the sum of its proper divisors (52503000140).

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

42002400040 is a wasteful number, since it uses less digits than its factorization.

42002400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050060012 (or 1050060008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 42002400040 its reverse (4000420024), we get a palindrome (46002820064).

The spelling of 42002400040 in words is "forty-two billion, two million, four hundred thousand, forty".