438040372846128 has 480 divisors, whose sum is σ = 1240616675450880. Its totient is φ = 133113325363200.

The previous prime is 438040372846081. The next prime is 438040372846199. The reversal of 438040372846128 is 821648273040834.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295374492075 + ... + 295374493557.

It is an arithmetic number, because the mean of its divisors is an integer number (2584618073856).

Almost surely, 2^{438040372846128} is an apocalyptic number.

438040372846128 is a gapful number since it is divisible by the number (48) 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 438040372846128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620308337725440).

438040372846128 is an abundant number, since it is smaller than the sum of its proper divisors (802576302604752).

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

438040372846128 is a wasteful number, since it uses less digits than its factorization.

438040372846128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 60.

The spelling of 438040372846128 in words is "four hundred thirty-eight trillion, forty billion, three hundred seventy-two million, eight hundred forty-six thousand, one hundred twenty-eight".