4098211296000 has 288 divisors, whose sum is σ = 13660399054848. Its totient is φ = 1088987443200.

The previous prime is 4098211295953. The next prime is 4098211296001. The reversal of 4098211296000 is 6921128904.

It is not an unprimeable number, because it can be changed into a prime (4098211296001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27092577 + ... + 27243423.

Almost surely, 2^{4098211296000} is an apocalyptic number.

4098211296000 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 4098211296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830199527424).

4098211296000 is an abundant number, since it is smaller than the sum of its proper divisors (9562187758848).

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

4098211296000 is a wasteful number, since it uses less digits than its factorization.

4098211296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151164 (or 151140 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 4098211296000 in words is "four trillion, ninety-eight billion, two hundred eleven million, two hundred ninety-six thousand".