4091157200 has 240 divisors, whose sum is σ = 11210949120. Its totient is φ = 1423319040.

The previous prime is 4091157193. The next prime is 4091157241. The reversal of 4091157200 is 27511904.

It is a super-2 number, since 2×4091157200² = 33475134470223680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9448184 + ... + 9448616.

It is an arithmetic number, because the mean of its divisors is an integer number (46712288).

Almost surely, 2^4091157200 is an apocalyptic number.

4091157200 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 4091157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605474560).

4091157200 is an abundant number, since it is smaller than the sum of its proper divisors (7119791920).

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

4091157200 is a wasteful number, since it uses less digits than its factorization.

4091157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 4091157200 is about 63962.1544352596. The cubic root of 4091157200 is about 1599.3691784061.

The spelling of 4091157200 in words is "four billion, ninety-one million, one hundred fifty-seven thousand, two hundred".