414202142520 has 48 divisors (see below), whose sum is σ = 1346156964360. Its totient is φ = 110453904576.

The previous prime is 414202142509. The next prime is 414202142533. The reversal of 414202142520 is 25241202414.

It is a happy number.

414202142520 is a `hidden beast` number, since 4 + 1 + 420 + 214 + 2 + 5 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575280394 + ... + 575281113.

Almost surely, 2^414202142520 is an apocalyptic number.

414202142520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414202142520 is an abundant number, since it is smaller than the sum of its proper divisors (931954821840).

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

414202142520 is a wasteful number, since it uses less digits than its factorization.

414202142520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150561524 (or 1150561517 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 414202142520 its reverse (25241202414), we get a palindrome (439443344934).

The spelling of 414202142520 in words is "four hundred fourteen billion, two hundred two million, one hundred forty-two thousand, five hundred twenty".