240240004400 has 120 divisors (see below), whose sum is σ = 631106367024. Its totient is φ = 87157555200.

The previous prime is 240240004393. The next prime is 240240004463. The reversal of 240240004400 is 4400042042.

It is a super-2 number, since 2×240240004400² (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 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 23 ways as a sum of consecutive naturals, for example, 1842152 + ... + 1968248.

Almost surely, 2^240240004400 is an apocalyptic number.

240240004400 is a gapful number since it is divisible by the number (20) 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 240240004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315553183512).

240240004400 is an abundant number, since it is smaller than the sum of its proper divisors (390866362624).

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

240240004400 is a wasteful number, since it uses less digits than its factorization.

240240004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126559 (or 126548 counting only the distinct ones).

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

Adding to 240240004400 its reverse (4400042042), we get a palindrome (244640046442).

The spelling of 240240004400 in words is "two hundred forty billion, two hundred forty million, four thousand, four hundred".