414043440120 has 96 divisors (see below), whose sum is σ = 1357549642800. Its totient is φ = 109434479616.

The previous prime is 414043440091. The next prime is 414043440121. The reversal of 414043440120 is 21044340414.

It is a super-2 number, since 2×414043440120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414043440121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5048350 + ... + 5129709.

Almost surely, 2^414043440120 is an apocalyptic number.

414043440120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414043440120 is an abundant number, since it is smaller than the sum of its proper divisors (943506202680).

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

414043440120 is a wasteful number, since it uses less digits than its factorization.

414043440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178189 (or 10178182 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414043440120 its reverse (21044340414), we get a palindrome (435087780534).

The spelling of 414043440120 in words is "four hundred fourteen billion, forty-three million, four hundred forty thousand, one hundred twenty".