98461440000 has 1920 divisors, whose sum is σ = 466680614400. Its totient is φ = 19906560000.

The previous prime is 98461439981. The next prime is 98461440023. The reversal of 98461440000 is 4416489.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2661119982 + ... + 2661120018.

It is an arithmetic number, because the mean of its divisors is an integer number (243062820).

Almost surely, 2^98461440000 is an apocalyptic number.

98461440000 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 98461440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233340307200).

98461440000 is an abundant number, since it is smaller than the sum of its proper divisors (368219174400).

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

98461440000 is a wasteful number, since it uses less digits than its factorization.

98461440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 98461440000 its reverse (4416489), we get a palindrome (98465856489).

The spelling of 98461440000 in words is "ninety-eight billion, four hundred sixty-one million, four hundred forty thousand".