4191552000 has 480 divisors, whose sum is σ = 15933265920. Its totient is φ = 1056153600.

The previous prime is 4191551971. The next prime is 4191552007. The reversal of 4191552000 is 2551914.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (4191552007) 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, 10943809 + ... + 10944191.

It is an arithmetic number, because the mean of its divisors is an integer number (33194304).

Almost surely, 2^4191552000 is an apocalyptic number.

4191552000 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 4191552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966632960).

4191552000 is an abundant number, since it is smaller than the sum of its proper divisors (11741713920).

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

4191552000 is a wasteful number, since it uses less digits than its factorization.

4191552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 4191552000 is about 64742.1964409611. The cubic root of 4191552000 is about 1612.3461544228.

The spelling of 4191552000 in words is "four billion, one hundred ninety-one million, five hundred fifty-two thousand".