398333766000 has 320 divisors, whose sum is σ = 1376182918656. Its totient is φ = 98767360000.

The previous prime is 398333765971. The next prime is 398333766029. The reversal of 398333766000 is 667333893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (398333765971) and next prime (398333766029).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 8442475 + ... + 8489525.

Almost surely, 2^398333766000 is an apocalyptic number.

398333766000 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 398333766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688091459328).

398333766000 is an abundant number, since it is smaller than the sum of its proper divisors (977849152656).

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

398333766000 is a wasteful number, since it uses less digits than its factorization.

398333766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47177 (or 47161 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 398333766000 in words is "three hundred ninety-eight billion, three hundred thirty-three million, seven hundred sixty-six thousand".