98128036823040 has 816 divisors, whose sum is σ = 392346673118400. Its totient is φ = 22222982873088.

The previous prime is 98128036823017. The next prime is 98128036823093. The reversal of 98128036823040 is 4032863082189.

98128036823040 is a `hidden beast` number, since 9 + 8 + 1 + 2 + 8 + 0 + 368 + 230 + 40 = 666.

It is a super-2 number, since 2×98128036823040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2250156756 + ... + 2250200364.

Almost surely, 2^{98128036823040} is an apocalyptic number.

98128036823040 is a gapful number since it is divisible by the number (90) 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 98128036823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196173336559200).

98128036823040 is an abundant number, since it is smaller than the sum of its proper divisors (294218636295360).

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

98128036823040 is a wasteful number, since it uses less digits than its factorization.

98128036823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43768 (or 43735 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 98128036823040 in words is "ninety-eight trillion, one hundred twenty-eight billion, thirty-six million, eight hundred twenty-three thousand, forty".