398311200000 has 972 divisors, whose sum is σ = 1671282210780. Its totient is φ = 90961920000.

The previous prime is 398311199977. The next prime is 398311200029. The reversal of 398311200000 is 2113893.

It can be written as a sum of positive squares in 6 ways, for example, as 384717505536 + 13593694464 = 620256^2 + 116592^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 352799436 + ... + 352800564.

Almost surely, 2^398311200000 is an apocalyptic number.

398311200000 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 398311200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835641105390).

398311200000 is an abundant number, since it is smaller than the sum of its proper divisors (1272971010780).

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

398311200000 is an equidigital number, since it uses as much as digits as its factorization.

398311200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 398311200000 its reverse (2113893), we get a palindrome (398313313893).

The spelling of 398311200000 in words is "three hundred ninety-eight billion, three hundred eleven million, two hundred thousand".