438155400076800 has 960 divisors, whose sum is σ = 1721486287825920. Its totient is φ = 96117058437120.

The previous prime is 438155400076769. The next prime is 438155400076883. The reversal of 438155400076800 is 8670004551834.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 1301630112 + ... + 1301966688.

It is an arithmetic number, because the mean of its divisors is an integer number (1793214883152).

Almost surely, 2^{438155400076800} is an apocalyptic number.

438155400076800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438155400076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860743143912960).

438155400076800 is an abundant number, since it is smaller than the sum of its proper divisors (1283330887749120).

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

438155400076800 is a wasteful number, since it uses less digits than its factorization.

438155400076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336811 (or 336790 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 438155400076800 in words is "four hundred thirty-eight trillion, one hundred fifty-five billion, four hundred million, seventy-six thousand, eight hundred".