398657662341120 has 1248 divisors, whose sum is σ = 1790245352313600. Its totient is φ = 79685354520576.

The previous prime is 398657662341077. The next prime is 398657662341121. The reversal of 398657662341120 is 21143266756893.

398657662341120 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 576 + 6 + 2 + 3 + 41 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398657662341121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318063816 + ... + 319314744.

It is an arithmetic number, because the mean of its divisors is an integer number (1434491468200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅398657662341120 = 797315324682240, but 3⋅398657662341120 = 1195972987023360 is not.

Almost surely, 2^{398657662341120} is an apocalyptic number.

398657662341120 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 398657662341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895122676156800).

398657662341120 is an abundant number, since it is smaller than the sum of its proper divisors (1391587689972480).

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

398657662341120 is a wasteful number, since it uses less digits than its factorization.

398657662341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251003 (or 1250978 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 398657662341120 in words is "three hundred ninety-eight trillion, six hundred fifty-seven billion, six hundred sixty-two million, three hundred forty-one thousand, one hundred twenty".