398896734240 has 480 divisors, whose sum is σ = 1518047879040. Its totient is φ = 98313523200.

The previous prime is 398896734169. The next prime is 398896734241. The reversal of 398896734240 is 42437698893.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (398896734241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10076085 + ... + 10115595.

It is an arithmetic number, because the mean of its divisors is an integer number (3162599748).

Almost surely, 2^398896734240 is an apocalyptic number.

398896734240 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 398896734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759023939520).

398896734240 is an abundant number, since it is smaller than the sum of its proper divisors (1119151144800).

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

398896734240 is a wasteful number, since it uses less digits than its factorization.

398896734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39598 (or 39581 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 398896734240 in words is "three hundred ninety-eight billion, eight hundred ninety-six million, seven hundred thirty-four thousand, two hundred forty".