414402342144 has 216 divisors, whose sum is σ = 1327226513760. Its totient is φ = 114317586432.

The previous prime is 414402342139. The next prime is 414402342163. The reversal of 414402342144 is 441243204414.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 901467 + ... + 1281189.

Almost surely, 2^414402342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414402342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663613256880).

414402342144 is an abundant number, since it is smaller than the sum of its proper divisors (912824171616).

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

414402342144 is a wasteful number, since it uses less digits than its factorization.

414402342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379785 (or 379764 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 414402342144 its reverse (441243204414), we get a palindrome (855645546558).

The spelling of 414402342144 in words is "four hundred fourteen billion, four hundred two million, three hundred forty-two thousand, one hundred forty-four".