414243334440 has 384 divisors, whose sum is σ = 1582693257600. Its totient is φ = 96600314880.

The previous prime is 414243334433. The next prime is 414243334469. The reversal of 414243334440 is 44433342414.

414243334440 is a `hidden beast` number, since 4 + 142 + 43 + 3 + 34 + 440 = 666.

It is a super-2 number, since 2×414243334440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 414243334395 and 414243334404.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2314570 + ... + 2487110.

It is an arithmetic number, because the mean of its divisors is an integer number (4121597025).

Almost surely, 2^414243334440 is an apocalyptic number.

414243334440 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 414243334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791346628800).

414243334440 is an abundant number, since it is smaller than the sum of its proper divisors (1168449923160).

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

414243334440 is a wasteful number, since it uses less digits than its factorization.

414243334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172599 (or 172583 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 414243334440 its reverse (44433342414), we get a palindrome (458676676854).

The spelling of 414243334440 in words is "four hundred fourteen billion, two hundred forty-three million, three hundred thirty-four thousand, four hundred forty".