414034413440 has 64 divisors (see below), whose sum is σ = 989895226320. Its totient is φ = 165598003200.

The previous prime is 414034413439. The next prime is 414034413487. The reversal of 414034413440 is 44314430414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 414034413397 and 414034413406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8578175 + ... + 8626305.

Almost surely, 2^414034413440 is an apocalyptic number.

414034413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414034413440 is an abundant number, since it is smaller than the sum of its proper divisors (575860812880).

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

414034413440 is a wasteful number, since it uses less digits than its factorization.

414034413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61591 (or 61579 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 414034413440 its reverse (44314430414), we get a palindrome (458348843854).

The spelling of 414034413440 in words is "four hundred fourteen billion, thirty-four million, four hundred thirteen thousand, four hundred forty".