414444030440120 has 64 divisors (see below), whose sum is σ = 932840084692800. Its totient is φ = 165716996014080.

The previous prime is 414444030440119. The next prime is 414444030440177. The reversal of 414444030440120 is 21044030444414.

It is a super-2 number, since 2×414444030440120² (a number of 30 digits) contains 22 as substring.

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, 1562268290 + ... + 1562533550.

It is an arithmetic number, because the mean of its divisors is an integer number (14575626323325).

Almost surely, 2^{414444030440120} is an apocalyptic number.

414444030440120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414444030440120 is an abundant number, since it is smaller than the sum of its proper divisors (518396054252680).

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

414444030440120 is a wasteful number, since it uses less digits than its factorization.

414444030440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279408 (or 279404 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 414444030440120 its reverse (21044030444414), we get a palindrome (435488060884534).

The spelling of 414444030440120 in words is "four hundred fourteen trillion, four hundred forty-four billion, thirty million, four hundred forty thousand, one hundred twenty".