414140314240 has 128 divisors (see below), whose sum is σ = 1021868395200. Its totient is φ = 160416841728.

The previous prime is 414140314121. The next prime is 414140314249. The reversal of 414140314240 is 42413041414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 414140314199 and 414140314208.

It is not an unprimeable number, because it can be changed into a prime (414140314249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2448072 + ... + 2611768.

Almost surely, 2^414140314240 is an apocalyptic number.

414140314240 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 414140314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510934197600).

414140314240 is an abundant number, since it is smaller than the sum of its proper divisors (607728080960).

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

414140314240 is a wasteful number, since it uses less digits than its factorization.

414140314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163842 (or 163830 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 414140314240 its reverse (42413041414), we get a palindrome (456553355654).

The spelling of 414140314240 in words is "four hundred fourteen billion, one hundred forty million, three hundred fourteen thousand, two hundred forty".