414313301000432 has 20 divisors (see below), whose sum is σ = 802747699716840. Its totient is φ = 207152604299328.

The previous prime is 414313301000407. The next prime is 414313301000437. The reversal of 414313301000432 is 234000103313414.

It is a happy number.

It is a super-2 number, since 2×414313301000432² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414313301000395 and 414313301000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414313301000437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252042707 + ... + 253681202.

It is an arithmetic number, because the mean of its divisors is an integer number (40137384985842).

Almost surely, 2^{414313301000432} is an apocalyptic number.

It is an amenable number.

414313301000432 is a deficient number, since it is larger than the sum of its proper divisors (388434398716408).

414313301000432 is a wasteful number, since it uses less digits than its factorization.

414313301000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505775120 (or 505775114 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 414313301000432 its reverse (234000103313414), we get a palindrome (648313404313846).

The spelling of 414313301000432 in words is "four hundred fourteen trillion, three hundred thirteen billion, three hundred one million, four hundred thirty-two", and thus it is an aban number.