4153080800 has 288 divisors, whose sum is σ = 11867990400. Its totient is φ = 1403136000.

The previous prime is 4153080793. The next prime is 4153080803. The reversal of 4153080800 is 80803514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153080803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9864590 + ... + 9865010.

It is an arithmetic number, because the mean of its divisors is an integer number (41208300).

Almost surely, 2^4153080800 is an apocalyptic number.

4153080800 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 4153080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933995200).

4153080800 is an abundant number, since it is smaller than the sum of its proper divisors (7714909600).

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

4153080800 is a wasteful number, since it uses less digits than its factorization.

4153080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 4153080800 is about 64444.4008428971. The cubic root of 4153080800 is about 1607.3981353555.

The spelling of 4153080800 in words is "four billion, one hundred fifty-three million, eighty thousand, eight hundred".