20424004400240 has 80 divisors (see below), whose sum is σ = 54280738191360. Its totient is φ = 7001065370880.

The previous prime is 20424004400227. The next prime is 20424004400243. The reversal of 20424004400240 is 4200440042402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20424004400240² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20424004400243) 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, 1069370 + ... + 6480089.

It is an arithmetic number, because the mean of its divisors is an integer number (678509227392).

Almost surely, 2^{20424004400240} is an apocalyptic number.

20424004400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424004400240 is an abundant number, since it is smaller than the sum of its proper divisors (33856733791120).

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

20424004400240 is a wasteful number, since it uses less digits than its factorization.

20424004400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554310 (or 7554304 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 20424004400240 its reverse (4200440042402), we get a palindrome (24624444442642).

The spelling of 20424004400240 in words is "twenty trillion, four hundred twenty-four billion, four million, four hundred thousand, two hundred forty".