438821940960 has 192 divisors, whose sum is σ = 1654021373760. Its totient is φ = 108017694720.

The previous prime is 438821940901. The next prime is 438821941009. The reversal of 438821940960 is 69049128834.

438821940960 is a `hidden beast` number, since 4 + 388 + 219 + 40 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 438821940897 and 438821940906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3850731 + ... + 3963050.

It is an arithmetic number, because the mean of its divisors is an integer number (8614694655).

Almost surely, 2^438821940960 is an apocalyptic number.

438821940960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438821940960 is an abundant number, since it is smaller than the sum of its proper divisors (1215199432800).

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

438821940960 is a wasteful number, since it uses less digits than its factorization.

438821940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813818 (or 7813804 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 438821940960 in words is "four hundred thirty-eight billion, eight hundred twenty-one million, nine hundred forty thousand, nine hundred sixty".