398960126539200 has 1008 divisors, whose sum is σ = 1581018464413440. Its totient is φ = 94825893888000.

The previous prime is 398960126539193. The next prime is 398960126539201. The reversal of 398960126539200 is 2935621069893.

398960126539200 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 60 + 12 + 6 + 539 + 20 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398960126539201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13818700765 + ... + 13818729635.

Almost surely, 2^{398960126539200} is an apocalyptic number.

398960126539200 is a gapful number since it is divisible by the number (30) 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 398960126539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790509232206720).

398960126539200 is an abundant number, since it is smaller than the sum of its proper divisors (1182058337874240).

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

398960126539200 is a wasteful number, since it uses less digits than its factorization.

398960126539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31906 (or 31888 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 398960126539200 in words is "three hundred ninety-eight trillion, nine hundred sixty billion, one hundred twenty-six million, five hundred thirty-nine thousand, two hundred".