414454441340 has 192 divisors, whose sum is σ = 979298812800. Its totient is φ = 146573328384.

The previous prime is 414454441321. The next prime is 414454441343. The reversal of 414454441340 is 43144454414.

It is a junction number, because it is equal to n+sod(n) for n = 414454441294 and 414454441303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414454441343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117440696 + ... + 117444224.

It is an arithmetic number, because the mean of its divisors is an integer number (5100514650).

Almost surely, 2^414454441340 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 414454441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489649406400).

414454441340 is an abundant number, since it is smaller than the sum of its proper divisors (564844371460).

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

414454441340 is a wasteful number, since it uses less digits than its factorization.

414454441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

Adding to 414454441340 its reverse (43144454414), we get a palindrome (457598895754).

The spelling of 414454441340 in words is "four hundred fourteen billion, four hundred fifty-four million, four hundred forty-one thousand, three hundred forty".