240024442440 has 64 divisors (see below), whose sum is σ = 720931881600. Its totient is φ = 63930202112.

The previous prime is 240024442439. The next prime is 240024442447. The reversal of 240024442440 is 44244420042.

It is a super-2 number, since 2×240024442440² (a number of 24 digits) contains 22 as substring.

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 = 240024442398 and 240024442407.

It is not an unprimeable number, because it can be changed into a prime (240024442447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091337 + ... + 1292696.

It is an arithmetic number, because the mean of its divisors is an integer number (11264560650).

Almost surely, 2^240024442440 is an apocalyptic number.

240024442440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240024442440 is an abundant number, since it is smaller than the sum of its proper divisors (480907439160).

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

240024442440 is a wasteful number, since it uses less digits than its factorization.

240024442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384886 (or 2384882 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 240024442440 its reverse (44244420042), we get a palindrome (284268862482).

The spelling of 240024442440 in words is "two hundred forty billion, twenty-four million, four hundred forty-two thousand, four hundred forty".