398006712072 has 224 divisors, whose sum is σ = 1182113601600. Its totient is φ = 125222931072.

The previous prime is 398006712067. The next prime is 398006712079. The reversal of 398006712072 is 270217600893.

It is not an unprimeable number, because it can be changed into a prime (398006712079) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30687333 + ... + 30700299.

Almost surely, 2^398006712072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398006712072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591056800800).

398006712072 is an abundant number, since it is smaller than the sum of its proper divisors (784106889528).

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

398006712072 is a wasteful number, since it uses less digits than its factorization.

398006712072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13287 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 398006712072 in words is "three hundred ninety-eight billion, six million, seven hundred twelve thousand, seventy-two".