98802287101440 has 1440 divisors, whose sum is σ = 404481429031680. Its totient is φ = 23040067534848.

The previous prime is 98802287101411. The next prime is 98802287101477. The reversal of 98802287101440 is 4410178220889.

98802287101440 is a `hidden beast` number, since 98 + 8 + 0 + 2 + 2 + 8 + 7 + 101 + 440 = 666.

98802287101440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1997474149 + ... + 1997523611.

It is an arithmetic number, because the mean of its divisors is an integer number (280889881272).

Almost surely, 2^{98802287101440} is an apocalyptic number.

98802287101440 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 98802287101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202240714515840).

98802287101440 is an abundant number, since it is smaller than the sum of its proper divisors (305679141930240).

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

98802287101440 is a wasteful number, since it uses less digits than its factorization.

98802287101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49546 (or 49505 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 98802287101440 in words is "ninety-eight trillion, eight hundred two billion, two hundred eighty-seven million, one hundred one thousand, four hundred forty".