414353411440 has 20 divisors (see below), whose sum is σ = 963371681784. Its totient is φ = 165741364544.

The previous prime is 414353411429. The next prime is 414353411441. The reversal of 414353411440 is 44114353414.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 414353411396 and 414353411405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414353411441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2589708742 + ... + 2589708901.

Almost surely, 2^414353411440 is an apocalyptic number.

414353411440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414353411440 is an abundant number, since it is smaller than the sum of its proper divisors (549018270344).

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

414353411440 is a wasteful number, since it uses less digits than its factorization.

414353411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179417656 (or 5179417650 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 414353411440 its reverse (44114353414), we get a palindrome (458467764854).

The spelling of 414353411440 in words is "four hundred fourteen billion, three hundred fifty-three million, four hundred eleven thousand, four hundred forty".