414301142103432 has 32 divisors (see below), whose sum is σ = 1041954968174400. Its totient is φ = 137273432312384.

The previous prime is 414301142103427. The next prime is 414301142103461. The reversal of 414301142103432 is 234301241103414.

It is a happy number.

It is a super-3 number, since 3×414301142103432³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414301142103393 and 414301142103402.

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, 51684270207 + ... + 51684278222.

It is an arithmetic number, because the mean of its divisors is an integer number (32561092755450).

Almost surely, 2^{414301142103432} is an apocalyptic number.

It is an amenable number.

414301142103432 is an abundant number, since it is smaller than the sum of its proper divisors (627653826070968).

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

414301142103432 is a wasteful number, since it uses less digits than its factorization.

414301142103432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103368548605 (or 103368548601 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 414301142103432 its reverse (234301241103414), we get a palindrome (648602383206846).

The spelling of 414301142103432 in words is "four hundred fourteen trillion, three hundred one billion, one hundred forty-two million, one hundred three thousand, four hundred thirty-two".