98340540480 has 1792 divisors, whose sum is σ = 467002368000. Its totient is φ = 18895306752.

The previous prime is 98340540421. The next prime is 98340540511. The reversal of 98340540480 is 8404504389.

It is a happy number.

98340540480 is a `hidden beast` number, since 9 + 83 + 40 + 54 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 433218127 + ... + 433218353.

It is an arithmetic number, because the mean of its divisors is an integer number (260604000).

Almost surely, 2^98340540480 is an apocalyptic number.

98340540480 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 98340540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233501184000).

98340540480 is an abundant number, since it is smaller than the sum of its proper divisors (368661827520).

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

98340540480 is a wasteful number, since it uses less digits than its factorization.

98340540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 98340540480 in words is "ninety-eight billion, three hundred forty million, five hundred forty thousand, four hundred eighty".