398426480640 has 1120 divisors, whose sum is σ = 1528624334160. Its totient is φ = 99090432000.

The previous prime is 398426480633. The next prime is 398426480653. The reversal of 398426480640 is 46084624893.

398426480640 is a `hidden beast` number, since 3 + 9 + 84 + 26 + 480 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 180210438144 + 218216042496 = 424512^2 + 467136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3944816590 + ... + 3944816690.

Almost surely, 2^398426480640 is an apocalyptic number.

398426480640 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 398426480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764312167080).

398426480640 is an abundant number, since it is smaller than the sum of its proper divisors (1130197853520).

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

398426480640 is a wasteful number, since it uses less digits than its factorization.

398426480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 398426480640 in words is "three hundred ninety-eight billion, four hundred twenty-six million, four hundred eighty thousand, six hundred forty".