4098988241712 has 960 divisors, whose sum is σ = 15871117516800. Its totient is φ = 956888432640.

The previous prime is 4098988241641. The next prime is 4098988241713. The reversal of 4098988241712 is 2171428898904.

4098988241712 is a `hidden beast` number, since 40 + 9 + 8 + 98 + 82 + 417 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4098988241712.

It is not an unprimeable number, because it can be changed into a prime (4098988241713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223820268 + ... + 223838580.

It is an arithmetic number, because the mean of its divisors is an integer number (16532414080).

Almost surely, 2^{4098988241712} is an apocalyptic number.

4098988241712 is a gapful number since it is divisible by the number (42) 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 4098988241712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7935558758400).

4098988241712 is an abundant number, since it is smaller than the sum of its proper divisors (11772129275088).

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

4098988241712 is a wasteful number, since it uses less digits than its factorization.

4098988241712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18426 (or 18417 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 4098988241712 in words is "four trillion, ninety-eight billion, nine hundred eighty-eight million, two hundred forty-one thousand, seven hundred twelve".