414034121532 has 24 divisors (see below), whose sum is σ = 966090443472. Its totient is φ = 138009827200.

The previous prime is 414034121519. The next prime is 414034121533. The reversal of 414034121532 is 235121430414.

It is a self number, because there is not a number n which added to its sum of digits gives 414034121532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414034121533) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1553182 + ... + 1800122.

It is an arithmetic number, because the mean of its divisors is an integer number (40253768478).

Almost surely, 2^414034121532 is an apocalyptic number.

It is an amenable number.

414034121532 is an abundant number, since it is smaller than the sum of its proper divisors (552056321940).

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

414034121532 is a wasteful number, since it uses less digits than its factorization.

414034121532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386669 (or 386667 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 414034121532 its reverse (235121430414), we get a palindrome (649155551946).

The spelling of 414034121532 in words is "four hundred fourteen billion, thirty-four million, one hundred twenty-one thousand, five hundred thirty-two".