414301230144 has 42 divisors (see below), whose sum is σ = 1187519673470. Its totient is φ = 138100409856.

The previous prime is 414301230139. The next prime is 414301230163. The reversal of 414301230144 is 441032103414.

414301230144 is a `hidden beast` number, since 4 + 14 + 301 + 2 + 301 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 220982727744 + 193318502400 = 470088^2 + 439680^2 .

It is a super-3 number, since 3×414301230144³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 359635909 + ... + 359637060.

Almost surely, 2^414301230144 is an apocalyptic number.

It is an amenable number.

414301230144 is an abundant number, since it is smaller than the sum of its proper divisors (773218443326).

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

414301230144 is a wasteful number, since it uses less digits than its factorization.

414301230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719272987 (or 719272974 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414301230144 its reverse (441032103414), we get a palindrome (855333333558).

The spelling of 414301230144 in words is "four hundred fourteen billion, three hundred one million, two hundred thirty thousand, one hundred forty-four".