398349378240 has 448 divisors, whose sum is σ = 1394642880000. Its totient is φ = 95532318720.

The previous prime is 398349378223. The next prime is 398349378263. The reversal of 398349378240 is 42873943893.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 643536651 + ... + 643537269.

Almost surely, 2^398349378240 is an apocalyptic number.

398349378240 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 398349378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697321440000).

398349378240 is an abundant number, since it is smaller than the sum of its proper divisors (996293501760).

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

398349378240 is a wasteful number, since it uses less digits than its factorization.

398349378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 398349378240 in words is "three hundred ninety-eight billion, three hundred forty-nine million, three hundred seventy-eight thousand, two hundred forty".