398503930429440 has 2856 divisors, whose sum is σ = 1670929784811504. Its totient is φ = 90812134195200.

The previous prime is 398503930429403. The next prime is 398503930429471. The reversal of 398503930429440 is 44924039305893.

398503930429440 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 0 + 39 + 304 + 294 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 491373526635 + ... + 491373527445.

Almost surely, 2^{398503930429440} is an apocalyptic number.

398503930429440 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 398503930429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835464892405752).

398503930429440 is an abundant number, since it is smaller than the sum of its proper divisors (1272425854382064).

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

398503930429440 is an frugal number, since it uses more digits than its factorization.

398503930429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 398503930429440 in words is "three hundred ninety-eight trillion, five hundred three billion, nine hundred thirty million, four hundred twenty-nine thousand, four hundred forty".