240240400040 has 16 divisors (see below), whose sum is σ = 540540900180. Its totient is φ = 96096160000.

The previous prime is 240240400027. The next prime is 240240400069. The reversal of 240240400040 is 40004042042.

It can be written as a sum of positive squares in 2 ways, for example, as 226760725636 + 13479674404 = 476194^2 + 116102^2 .

It is a super-2 number, since 2×240240400040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 240240399985 and 240240400021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3003004961 + ... + 3003005040.

Almost surely, 2^240240400040 is an apocalyptic number.

240240400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240240400040 is an abundant number, since it is smaller than the sum of its proper divisors (300300500140).

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

240240400040 is a wasteful number, since it uses less digits than its factorization.

240240400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006010012 (or 6006010008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 240240400040 its reverse (40004042042), we get a palindrome (280244442082).

The spelling of 240240400040 in words is "two hundred forty billion, two hundred forty million, four hundred thousand, forty".