3240144404400 has 120 divisors (see below), whose sum is σ = 10448922632400. Its totient is φ = 858239544320.

The previous prime is 3240144404389. The next prime is 3240144404447. The reversal of 3240144404400 is 44044410423.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3240144404400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8882007 + ... + 9239606.

It is an arithmetic number, because the mean of its divisors is an integer number (87074355270).

Almost surely, 2^{3240144404400} is an apocalyptic number.

3240144404400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3240144404400 is an abundant number, since it is smaller than the sum of its proper divisors (7208778228000).

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

3240144404400 is a wasteful number, since it uses less digits than its factorization.

3240144404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18121783 (or 18121772 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 3240144404400 its reverse (44044410423), we get a palindrome (3284188814823).

The spelling of 3240144404400 in words is "three trillion, two hundred forty billion, one hundred forty-four million, four hundred four thousand, four hundred".