398441951345640 has 256 divisors, whose sum is σ = 1267354731479040. Its totient is φ = 100035098496000.

The previous prime is 398441951345597. The next prime is 398441951345687. The reversal of 398441951345640 is 46543159144893.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490645205 + ... + 1490912475.

It is an arithmetic number, because the mean of its divisors is an integer number (4950604419840).

Almost surely, 2^{398441951345640} is an apocalyptic number.

398441951345640 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 398441951345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633677365739520).

398441951345640 is an abundant number, since it is smaller than the sum of its proper divisors (868912780133400).

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

398441951345640 is a wasteful number, since it uses less digits than its factorization.

398441951345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278184 (or 278180 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 66.

The spelling of 398441951345640 in words is "three hundred ninety-eight trillion, four hundred forty-one billion, nine hundred fifty-one million, three hundred forty-five thousand, six hundred forty".