414304242440 has 32 divisors (see below), whose sum is σ = 1016928596160. Its totient is φ = 150656088000.

The previous prime is 414304242437. The next prime is 414304242449. The reversal of 414304242440 is 44242403414.

It is a junction number, because it is equal to n+sod(n) for n = 414304242397 and 414304242406.

It is not an unprimeable number, because it can be changed into a prime (414304242449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470799836 + ... + 470800715.

It is an arithmetic number, because the mean of its divisors is an integer number (31779018630).

Almost surely, 2^414304242440 is an apocalyptic number.

414304242440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414304242440 is an abundant number, since it is smaller than the sum of its proper divisors (602624353720).

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

414304242440 is a wasteful number, since it uses less digits than its factorization.

414304242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941600573 (or 941600569 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 414304242440 its reverse (44242403414), we get a palindrome (458546645854).

The spelling of 414304242440 in words is "four hundred fourteen billion, three hundred four million, two hundred forty-two thousand, four hundred forty".