414303341120 has 28 divisors (see below), whose sum is σ = 986559831804. Its totient is φ = 165721336320.

The previous prime is 414303341113. The next prime is 414303341129. The reversal of 414303341120 is 21143303414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 204825035776 + 209478305344 = 452576^2 + 457688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414303341120.

It is not an unprimeable number, because it can be changed into a prime (414303341129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 647348651 + ... + 647349290.

Almost surely, 2^414303341120 is an apocalyptic number.

414303341120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414303341120 is an abundant number, since it is smaller than the sum of its proper divisors (572256490684).

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

414303341120 is a wasteful number, since it uses less digits than its factorization.

414303341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294697958 (or 1294697948 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 414303341120 its reverse (21143303414), we get a palindrome (435446644534).

The spelling of 414303341120 in words is "four hundred fourteen billion, three hundred three million, three hundred forty-one thousand, one hundred twenty".