4151824560 has 320 divisors, whose sum is σ = 15499008000. Its totient is φ = 1015483392.

The previous prime is 4151824549. The next prime is 4151824561. The reversal of 4151824560 is 654281514.

It is a happy number.

4151824560 is a `hidden beast` number, since 4 + 15 + 1 + 82 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4151824561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5587549 + ... + 5588291.

It is an arithmetic number, because the mean of its divisors is an integer number (48434400).

Almost surely, 2^4151824560 is an apocalyptic number.

4151824560 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 4151824560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749504000).

4151824560 is an abundant number, since it is smaller than the sum of its proper divisors (11347183440).

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

4151824560 is a wasteful number, since it uses less digits than its factorization.

4151824560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4151824560 is about 64434.6534094815. The cubic root of 4151824560 is about 1607.2360483358.

The spelling of 4151824560 in words is "four billion, one hundred fifty-one million, eight hundred twenty-four thousand, five hundred sixty".