398787393070080 has 2112 divisors, whose sum is σ = 1699634056608000. Its totient is φ = 88372513603584.

The previous prime is 398787393070057. The next prime is 398787393070081. The reversal of 398787393070080 is 80070393787893.

398787393070080 is a `hidden beast` number, since 3 + 9 + 87 + 87 + 393 + 0 + 7 + 0 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 398787393069990 and 398787393070008.

It is not an unprimeable number, because it can be changed into a prime (398787393070081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29174577486 + ... + 29174591154.

Almost surely, 2^{398787393070080} is an apocalyptic number.

398787393070080 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 398787393070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849817028304000).

398787393070080 is an abundant number, since it is smaller than the sum of its proper divisors (1300846663537920).

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

398787393070080 is a wasteful number, since it uses less digits than its factorization.

398787393070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13849 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 398787393070080 in words is "three hundred ninety-eight trillion, seven hundred eighty-seven billion, three hundred ninety-three million, seventy thousand, eighty".