98032100040 has 1152 divisors, whose sum is σ = 415268156160. Its totient is φ = 20316635136.

The previous prime is 98032100011. The next prime is 98032100041. The reversal of 98032100040 is 4000123089.

It is a super-2 number, since 2×98032100040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 98032099977 and 98032100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98032100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1342905444 + ... + 1342905516.

It is an arithmetic number, because the mean of its divisors is an integer number (360475830).

Almost surely, 2^98032100040 is an apocalyptic number.

98032100040 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 98032100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207634078080).

98032100040 is an abundant number, since it is smaller than the sum of its proper divisors (317236056120).

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

98032100040 is a wasteful number, since it uses less digits than its factorization.

98032100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 98032100040 in words is "ninety-eight billion, thirty-two million, one hundred thousand, forty".