414033231320 has 64 divisors (see below), whose sum is σ = 1029259120320. Its totient is φ = 149094313984.

The previous prime is 414033231317. The next prime is 414033231329. The reversal of 414033231320 is 23132330414.

It is a self number, because there is not a number n which added to its sum of digits gives 414033231320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414033231329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13220717 + ... + 13251996.

It is an arithmetic number, because the mean of its divisors is an integer number (16082173755).

Almost surely, 2^414033231320 is an apocalyptic number.

414033231320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414033231320 is an abundant number, since it is smaller than the sum of its proper divisors (615225889000).

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

414033231320 is a wasteful number, since it uses less digits than its factorization.

414033231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26472764 (or 26472760 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 414033231320 its reverse (23132330414), we get a palindrome (437165561734).

It can be divided in two parts, 41403 and 3231320, that added together give a palindrome (3272723).

The spelling of 414033231320 in words is "four hundred fourteen billion, thirty-three million, two hundred thirty-one thousand, three hundred twenty".