4101252553200 has 720 divisors, whose sum is σ = 15476162462208. Its totient is φ = 925284096000.

The previous prime is 4101252553183. The next prime is 4101252553243. The reversal of 4101252553200 is 23552521014.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123548605 + ... + 123581795.

Almost surely, 2^{4101252553200} is an apocalyptic number.

4101252553200 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 4101252553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738081231104).

4101252553200 is an abundant number, since it is smaller than the sum of its proper divisors (11374909909008).

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

4101252553200 is a wasteful number, since it uses less digits than its factorization.

4101252553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33294 (or 33272 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 4101252553200 in words is "four trillion, one hundred one billion, two hundred fifty-two million, five hundred fifty-three thousand, two hundred".