4095224000 has 336 divisors, whose sum is σ = 12214335744. Its totient is φ = 1354752000.

The previous prime is 4095223997. The next prime is 4095224011. The reversal of 4095224000 is 4225904.

It is a super-2 number, since 2×4095224000² = 33541719220352000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12151832 + ... + 12152168.

Almost surely, 2^4095224000 is an apocalyptic number.

4095224000 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 4095224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107167872).

4095224000 is an abundant number, since it is smaller than the sum of its proper divisors (8119111744).

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

4095224000 is a wasteful number, since it uses less digits than its factorization.

4095224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4095224000 is about 63993.9372128329. The cubic root of 4095224000 is about 1599.8989519518.

Adding to 4095224000 its reverse (4225904), we get a palindrome (4099449904).

The spelling of 4095224000 in words is "four billion, ninety-five million, two hundred twenty-four thousand".