414430841040 has 80 divisors (see below), whose sum is σ = 1284935723136. Its totient is φ = 110497676800.

The previous prime is 414430841023. The next prime is 414430841119. The reversal of 414430841040 is 40148034414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414430840992 and 414430841010.

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, 1448245 + ... + 1710635.

Almost surely, 2^414430841040 is an apocalyptic number.

414430841040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414430841040 is an abundant number, since it is smaller than the sum of its proper divisors (870504882096).

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

414430841040 is a wasteful number, since it uses less digits than its factorization.

414430841040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268988 (or 268982 counting only the distinct ones).

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

Adding to 414430841040 its reverse (40148034414), we get a palindrome (454578875454).

The spelling of 414430841040 in words is "four hundred fourteen billion, four hundred thirty million, eight hundred forty-one thousand, forty".