4253201088000 has 320 divisors, whose sum is σ = 14372686785600. Its totient is φ = 1115590656000.

The previous prime is 4253201087963. The next prime is 4253201088029. The reversal of 4253201088000 is 8801023524.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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, 11530426 + ... + 11893574.

It is an arithmetic number, because the mean of its divisors is an integer number (44914646205).

Almost surely, 2^{4253201088000} is an apocalyptic number.

4253201088000 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 4253201088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186343392800).

4253201088000 is an abundant number, since it is smaller than the sum of its proper divisors (10119485697600).

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

4253201088000 is an equidigital number, since it uses as much as digits as its factorization.

4253201088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363246 (or 363220 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 4253201088000 in words is "four trillion, two hundred fifty-three billion, two hundred one million, eighty-eight thousand".