414012132030411 has 32 divisors (see below), whose sum is σ = 629936759259200. Its totient is φ = 268544833090560.

The previous prime is 414012132030391. The next prime is 414012132030487. The reversal of 414012132030411 is 114030231210414.

It is a happy number.

414012132030411 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 1 + 21 + 320 + 304 + 11 = 666.

It is not a de Polignac number, because 414012132030411 - 2⁶ = 414012132030347 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414012137030411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73331001 + ... + 78774741.

It is an arithmetic number, because the mean of its divisors is an integer number (19685523726850).

Almost surely, 2^{414012132030411} is an apocalyptic number.

414012132030411 is a deficient number, since it is larger than the sum of its proper divisors (215924627228789).

414012132030411 is a wasteful number, since it uses less digits than its factorization.

414012132030411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519916 (or 5519910 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 414012132030411 its reverse (114030231210414), we get a palindrome (528042363240825).

The spelling of 414012132030411 in words is "four hundred fourteen trillion, twelve billion, one hundred thirty-two million, thirty thousand, four hundred eleven".