414011202132 has 48 divisors (see below), whose sum is σ = 1068689631744. Its totient is φ = 123690924000.

The previous prime is 414011202103. The next prime is 414011202151. The reversal of 414011202132 is 231202110414.

It is a super-2 number, since 2×414011202132² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414011202099 and 414011202108.

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 15 ways as a sum of consecutive naturals, for example, 22078294 + ... + 22097037.

It is an arithmetic number, because the mean of its divisors is an integer number (22264367328).

Almost surely, 2^414011202132 is an apocalyptic number.

It is an amenable number.

414011202132 is an abundant number, since it is smaller than the sum of its proper divisors (654678429612).

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

414011202132 is a wasteful number, since it uses less digits than its factorization.

414011202132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44175420 (or 44175418 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 414011202132 its reverse (231202110414), we get a palindrome (645213312546).

The spelling of 414011202132 in words is "four hundred fourteen billion, eleven million, two hundred two thousand, one hundred thirty-two".