414120124240 has 80 divisors (see below), whose sum is σ = 964914022800. Its totient is φ = 165289779200.

The previous prime is 414120124211. The next prime is 414120124283. The reversal of 414120124240 is 42421021414.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11077983504 + 403042140736 = 105252^2 + 634856^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142946472 + ... + 142949368.

It is an arithmetic number, because the mean of its divisors is an integer number (12061425285).

Almost surely, 2^414120124240 is an apocalyptic number.

414120124240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414120124240 is an abundant number, since it is smaller than the sum of its proper divisors (550793898560).

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

414120124240 is a wasteful number, since it uses less digits than its factorization.

414120124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 414120124240 its reverse (42421021414), we get a palindrome (456541145654).

The spelling of 414120124240 in words is "four hundred fourteen billion, one hundred twenty million, one hundred twenty-four thousand, two hundred forty".