397948744088896 has 3024 divisors, whose sum is σ = 1213445526693120. Its totient is φ = 126466641100800.

The previous prime is 397948744088851. The next prime is 397948744088927. The reversal of 397948744088896 is 698880447849793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5451352658716 + ... + 5451352658788.

It is an arithmetic number, because the mean of its divisors is an integer number (401271668880).

Almost surely, 2^{397948744088896} 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 397948744088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606722763346560).

397948744088896 is an abundant number, since it is smaller than the sum of its proper divisors (815496782604224).

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

397948744088896 is a wasteful number, since it uses less digits than its factorization.

397948744088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 168552824832, while the sum is 94.

The spelling of 397948744088896 in words is "three hundred ninety-seven trillion, nine hundred forty-eight billion, seven hundred forty-four million, eighty-eight thousand, eight hundred ninety-six".