98911441440 has 1152 divisors, whose sum is σ = 425897740800. Its totient is φ = 20971560960.

The previous prime is 98911441427. The next prime is 98911441481. The reversal of 98911441440 is 4414411989.

It is a happy number.

98911441440 is a `hidden beast` number, since 9 + 89 + 114 + 414 + 40 = 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 191 ways as a sum of consecutive naturals, for example, 1621499010 + ... + 1621499070.

It is an arithmetic number, because the mean of its divisors is an integer number (369702900).

Almost surely, 2^98911441440 is an apocalyptic number.

98911441440 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 98911441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212948870400).

98911441440 is an abundant number, since it is smaller than the sum of its proper divisors (326986299360).

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

98911441440 is a wasteful number, since it uses less digits than its factorization.

98911441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 98911441440 in words is "ninety-eight billion, nine hundred eleven million, four hundred forty-one thousand, four hundred forty".