2401331404120 has 128 divisors (see below), whose sum is σ = 6063098572800. Its totient is φ = 848261030400.

The previous prime is 2401331404079. The next prime is 2401331404271. The reversal of 2401331404120 is 214041331042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10155801 + ... + 10389559.

It is an arithmetic number, because the mean of its divisors is an integer number (47367957600).

Almost surely, 2^{2401331404120} is an apocalyptic number.

2401331404120 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 2401331404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031549286400).

2401331404120 is an abundant number, since it is smaller than the sum of its proper divisors (3661767168680).

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

2401331404120 is a wasteful number, since it uses less digits than its factorization.

2401331404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234449 (or 234445 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2401331404120 its reverse (214041331042), we get a palindrome (2615372735162).

The spelling of 2401331404120 in words is "two trillion, four hundred one billion, three hundred thirty-one million, four hundred four thousand, one hundred twenty".