414048459488 has 24 divisors (see below), whose sum is σ = 815428104120. Its totient is φ = 206955607680.

The previous prime is 414048459457. The next prime is 414048459491. The reversal of 414048459488 is 884954840414.

It is a happy number.

It is a super-2 number, since 2×414048459488² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2046323 + ... + 2239538.

It is an arithmetic number, because the mean of its divisors is an integer number (33976171005).

Almost surely, 2^414048459488 is an apocalyptic number.

It is an amenable number.

414048459488 is a deficient number, since it is larger than the sum of its proper divisors (401379644632).

414048459488 is a wasteful number, since it uses less digits than its factorization.

414048459488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288890 (or 4288882 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 59.

The spelling of 414048459488 in words is "four hundred fourteen billion, forty-eight million, four hundred fifty-nine thousand, four hundred eighty-eight".