414002121324 has 24 divisors (see below), whose sum is σ = 1053823581888. Its totient is φ = 125455188240.

The previous prime is 414002121307. The next prime is 414002121361. The reversal of 414002121324 is 423121200414.

It is a junction number, because it is equal to n+sod(n) for n = 414002121294 and 414002121303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1568189722 + ... + 1568189985.

It is an arithmetic number, because the mean of its divisors is an integer number (43909315912).

Almost surely, 2^414002121324 is an apocalyptic number.

414002121324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414002121324 is an abundant number, since it is smaller than the sum of its proper divisors (639821460564).

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

414002121324 is a wasteful number, since it uses less digits than its factorization.

414002121324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136379725 (or 3136379723 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414002121324 its reverse (423121200414), we get a palindrome (837123321738).

The spelling of 414002121324 in words is "four hundred fourteen billion, two million, one hundred twenty-one thousand, three hundred twenty-four".