481040341344 has 36 divisors (see below), whose sum is σ = 1367958471516. Its totient is φ = 160346780352.

The previous prime is 481040341307. The next prime is 481040341393. The reversal of 481040341344 is 443143040184.

481040341344 is a `hidden beast` number, since 481 + 0 + 40 + 3 + 4 + 134 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×481040341344³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 481040341299 and 481040341308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 835139194 + ... + 835139769.

It is an arithmetic number, because the mean of its divisors is an integer number (37998846431).

Almost surely, 2^481040341344 is an apocalyptic number.

It is an amenable number.

481040341344 is an abundant number, since it is smaller than the sum of its proper divisors (886918130172).

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

481040341344 is a wasteful number, since it uses less digits than its factorization.

481040341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670278979 (or 1670278968 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 481040341344 in words is "four hundred eighty-one billion, forty million, three hundred forty-one thousand, three hundred forty-four".