4098980160000 has 3200 divisors, whose sum is σ = 18224026444800. Its totient is φ = 898007040000.

The previous prime is 4098980159999. The next prime is 4098980160007. The reversal of 4098980160000 is 610898904.

4098980160000 is a `hidden beast` number, since 409 + 8 + 9 + 80 + 160 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098980160007) 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 319 ways as a sum of consecutive naturals, for example, 69474239971 + ... + 69474240029.

It is an arithmetic number, because the mean of its divisors is an integer number (5695008264).

Almost surely, 2^{4098980160000} is an apocalyptic number.

4098980160000 is a gapful number since it is divisible by the number (40) 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 4098980160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9112013222400).

4098980160000 is an abundant number, since it is smaller than the sum of its proper divisors (14125046284800).

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

4098980160000 is a wasteful number, since it uses less digits than its factorization.

4098980160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 4098980160000 in words is "four trillion, ninety-eight billion, nine hundred eighty million, one hundred sixty thousand".