398435085887488 has 768 divisors, whose sum is σ = 934899994828800. Its totient is φ = 168348450816000.

The previous prime is 398435085887471. The next prime is 398435085887533. The reversal of 398435085887488 is 884788580534893.

It is a junction number, because it is equal to n+sod(n) for n = 398435085887399 and 398435085887408.

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, 260244993283 + ... + 260244994813.

It is an arithmetic number, because the mean of its divisors is an integer number (1217317701600).

Almost surely, 2^{398435085887488} 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 398435085887488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467449997414400).

398435085887488 is an abundant number, since it is smaller than the sum of its proper divisors (536464908941312).

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

398435085887488 is a wasteful number, since it uses less digits than its factorization.

398435085887488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 59454259200, while the sum is 88.

The spelling of 398435085887488 in words is "three hundred ninety-eight trillion, four hundred thirty-five billion, eighty-five million, eight hundred eighty-seven thousand, four hundred eighty-eight".