398612808478080 has 2560 divisors, whose sum is σ = 1751070985297920. Its totient is φ = 84442963968000.

The previous prime is 398612808478039. The next prime is 398612808478081. The reversal of 398612808478080 is 80874808216893.

398612808478080 is a `hidden beast` number, since 3 + 98 + 61 + 2 + 8 + 0 + 8 + 478 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398612808478081) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39619596250 + ... + 39619606310.

It is an arithmetic number, because the mean of its divisors is an integer number (684012103632).

Almost surely, 2^{398612808478080} is an apocalyptic number.

398612808478080 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 398612808478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875535492648960).

398612808478080 is an abundant number, since it is smaller than the sum of its proper divisors (1352458176819840).

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

398612808478080 is a wasteful number, since it uses less digits than its factorization.

398612808478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10270 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 398612808478080 in words is "three hundred ninety-eight trillion, six hundred twelve billion, eight hundred eight million, four hundred seventy-eight thousand, eighty".