414404141340120 has 128 divisors (see below), whose sum is σ = 1259044055424000. Its totient is φ = 109100725493760.

The previous prime is 414404141340061. The next prime is 414404141340127. The reversal of 414404141340120 is 21043141404414.

It is a super-2 number, since 2×414404141340120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414404141340127) 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 31 ways as a sum of consecutive naturals, for example, 124815160 + ... + 128092280.

It is an arithmetic number, because the mean of its divisors is an integer number (9836281683000).

Almost surely, 2^{414404141340120} is an apocalyptic number.

414404141340120 is a gapful number since it is divisible by the number (40) 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 414404141340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629522027712000).

414404141340120 is an abundant number, since it is smaller than the sum of its proper divisors (844639914083880).

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

414404141340120 is a wasteful number, since it uses less digits than its factorization.

414404141340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290553 (or 3290549 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 414404141340120 its reverse (21043141404414), we get a palindrome (435447282744534).

The spelling of 414404141340120 in words is "four hundred fourteen trillion, four hundred four billion, one hundred forty-one million, three hundred forty thousand, one hundred twenty".