398443358880 has 1152 divisors, whose sum is σ = 1728285672960. Its totient is φ = 85186805760.

The previous prime is 398443358867. The next prime is 398443358893. The reversal of 398443358880 is 88853344893.

398443358880 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 43 + 3 + 588 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (398443358867) and next prime (398443358893).

It is a super-2 number, since 2×398443358880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 946421070 + ... + 946421490.

It is an arithmetic number, because the mean of its divisors is an integer number (1500247980).

Almost surely, 2^398443358880 is an apocalyptic number.

398443358880 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 398443358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864142836480).

398443358880 is an abundant number, since it is smaller than the sum of its proper divisors (1329842314080).

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

398443358880 is a wasteful number, since it uses less digits than its factorization.

398443358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 398443358880 in words is "three hundred ninety-eight billion, four hundred forty-three million, three hundred fifty-eight thousand, eight hundred eighty".