414030132312 has 64 divisors (see below), whose sum is σ = 1063152691200. Its totient is φ = 134267114880.

The previous prime is 414030132311. The next prime is 414030132331. The reversal of 414030132312 is 213231030414.

It is a happy number.

It is a super-3 number, since 3×414030132312³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414030132311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14476987 + ... + 14505557.

It is an arithmetic number, because the mean of its divisors is an integer number (16611760800).

Almost surely, 2^414030132312 is an apocalyptic number.

It is an amenable number.

414030132312 is an abundant number, since it is smaller than the sum of its proper divisors (649122558888).

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

414030132312 is a wasteful number, since it uses less digits than its factorization.

414030132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44936 (or 44932 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 414030132312 its reverse (213231030414), we get a palindrome (627261162726).

The spelling of 414030132312 in words is "four hundred fourteen billion, thirty million, one hundred thirty-two thousand, three hundred twelve".