414040251132 has 48 divisors (see below), whose sum is σ = 1077929126400. Its totient is φ = 137435946480.

The previous prime is 414040251103. The next prime is 414040251133. The reversal of 414040251132 is 231152040414.

414040251132 is a `hidden beast` number, since 4 + 1 + 404 + 0 + 251 + 1 + 3 + 2 = 666.

414040251132 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414040251096 and 414040251105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414040251133) 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, 7994494 + ... + 8046117.

It is an arithmetic number, because the mean of its divisors is an integer number (22456856800).

Almost surely, 2^414040251132 is an apocalyptic number.

It is an amenable number.

414040251132 is an abundant number, since it is smaller than the sum of its proper divisors (663888875268).

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

414040251132 is a wasteful number, since it uses less digits than its factorization.

414040251132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16040863 (or 16040855 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 414040251132 its reverse (231152040414), we get a palindrome (645192291546).

The spelling of 414040251132 in words is "four hundred fourteen billion, forty million, two hundred fifty-one thousand, one hundred thirty-two".