438821308960 has 48 divisors (see below), whose sum is σ = 1060825018176. Its totient is φ = 171446462208.

The previous prime is 438821308921. The next prime is 438821308999. The reversal of 438821308960 is 69803128834.

It is an interprime number because it is at equal distance from previous prime (438821308921) and next prime (438821308999).

It is a junction number, because it is equal to n+sod(n) for n = 438821308898 and 438821308907.

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 7 ways as a sum of consecutive naturals, for example, 31884204 + ... + 31897963.

It is an arithmetic number, because the mean of its divisors is an integer number (22100521212).

Almost surely, 2^438821308960 is an apocalyptic number.

438821308960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438821308960 is an abundant number, since it is smaller than the sum of its proper divisors (622003709216).

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

438821308960 is a wasteful number, since it uses less digits than its factorization.

438821308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63782225 (or 63782217 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 438821308960 in words is "four hundred thirty-eight billion, eight hundred twenty-one million, three hundred eight thousand, nine hundred sixty".