414350524211440 has 20 divisors (see below), whose sum is σ = 963364968791784. Its totient is φ = 165740209684544.

The previous prime is 414350524211363. The next prime is 414350524211453. The reversal of 414350524211440 is 44112425053414.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 414350524211393 and 414350524211402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2589690776242 + ... + 2589690776401.

Almost surely, 2^{414350524211440} is an apocalyptic number.

414350524211440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414350524211440 is an abundant number, since it is smaller than the sum of its proper divisors (549014444580344).

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

414350524211440 is a wasteful number, since it uses less digits than its factorization.

414350524211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179381552656 (or 5179381552650 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 414350524211440 its reverse (44112425053414), we get a palindrome (458462949264854).

The spelling of 414350524211440 in words is "four hundred fourteen trillion, three hundred fifty billion, five hundred twenty-four million, two hundred eleven thousand, four hundred forty".