404241144131240 has 32 divisors (see below), whose sum is σ = 979507387703880. Its totient is φ = 149258268602112.

The previous prime is 404241144131207. The next prime is 404241144131249. The reversal of 404241144131240 is 42131441142404.

It can be written as a sum of positive squares in 4 ways, for example, as 214574978030884 + 189666166100356 = 14648378^2 + 13771934^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 404241144131240.

It is not an unprimeable number, because it can be changed into a prime (404241144131249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388693407299 + ... + 388693408338.

Almost surely, 2^{404241144131240} is an apocalyptic number.

404241144131240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404241144131240 is an abundant number, since it is smaller than the sum of its proper divisors (575266243572640).

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

404241144131240 is a wasteful number, since it uses less digits than its factorization.

404241144131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777386815661 (or 777386815657 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 404241144131240 its reverse (42131441142404), we get a palindrome (446372585273644).

The spelling of 404241144131240 in words is "four hundred four trillion, two hundred forty-one billion, one hundred forty-four million, one hundred thirty-one thousand, two hundred forty".