438138625206520 has 512 divisors, whose sum is σ = 1194174893260800. Its totient is φ = 141498988646400.

The previous prime is 438138625206487. The next prime is 438138625206577. The reversal of 438138625206520 is 25602526831834.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184324199572 + ... + 184324201948.

It is an arithmetic number, because the mean of its divisors is an integer number (2332372838400).

Almost surely, 2^{438138625206520} is an apocalyptic number.

438138625206520 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 438138625206520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597087446630400).

438138625206520 is an abundant number, since it is smaller than the sum of its proper divisors (756036268054280).

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

438138625206520 is a wasteful number, since it uses less digits than its factorization.

438138625206520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 438138625206520 in words is "four hundred thirty-eight trillion, one hundred thirty-eight billion, six hundred twenty-five million, two hundred six thousand, five hundred twenty".