398289831840000 has 405 divisors, whose sum is σ = 1435086661127119. Its totient is φ = 106204235520000.

The previous prime is 398289831839971. The next prime is 398289831840031. The reversal of 398289831840000 is 48138982893.

The square root of 398289831840000 is 19957200.

It is a perfect power (a square), and thus also a powerful number.

398289831840000 is a `hidden beast` number, since 3 + 98 + 28 + 98 + 31 + 8 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31225922816256 + 367063909023744 = 5588016^2 + 19158912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 398289831840000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23948631685 + ... + 23948648315.

Almost surely, 2^{398289831840000} is an apocalyptic number.

398289831840000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

398289831840000 is the 19957200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398289831840000

398289831840000 is an abundant number, since it is smaller than the sum of its proper divisors (1036796829287119).

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

398289831840000 is an frugal number, since it uses more digits than its factorization.

398289831840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33304 (or 16641 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 398289831840000 in words is "three hundred ninety-eight trillion, two hundred eighty-nine billion, eight hundred thirty-one million, eight hundred forty thousand".