438082776857572 has 144 divisors (see below), whose sum is σ = 977362757280000. Its totient is φ = 169896647746560.

The previous prime is 438082776857549. The next prime is 438082776857581. The reversal of 438082776857572 is 275758677280834.

It is a junction number, because it is equal to n+sod(n) for n = 438082776857492 and 438082776857501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245265554 + ... + 1245617302.

It is an arithmetic number, because the mean of its divisors is an integer number (6787241370000).

Almost surely, 2^{438082776857572} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438082776857572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488681378640000).

438082776857572 is an abundant number, since it is smaller than the sum of its proper divisors (539279980422428).

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

438082776857572 is a wasteful number, since it uses less digits than its factorization.

438082776857572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354434 (or 354425 counting only the distinct ones).

The product of its (nonzero) digits is 8851046400, while the sum is 79.

The spelling of 438082776857572 in words is "four hundred thirty-eight trillion, eighty-two billion, seven hundred seventy-six million, eight hundred fifty-seven thousand, five hundred seventy-two".