4151516544 has 256 divisors, whose sum is σ = 14206233600. Its totient is φ = 1168957440.

The previous prime is 4151516539. The next prime is 4151516561. The reversal of 4151516544 is 4456151514.

4151516544 is a `hidden beast` number, since 41 + 51 + 516 + 54 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4151516499 and 4151516508.

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 31 ways as a sum of consecutive naturals, for example, 1716424 + ... + 1718840.

It is an arithmetic number, because the mean of its divisors is an integer number (55493100).

Almost surely, 2^4151516544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4151516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103116800).

4151516544 is an abundant number, since it is smaller than the sum of its proper divisors (10054717056).

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

4151516544 is a wasteful number, since it uses less digits than its factorization.

4151516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2500 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 4151516544 is about 64432.2632227054. The cubic root of 4151516544 is about 1607.1963014202.

The spelling of 4151516544 in words is "four billion, one hundred fifty-one million, five hundred sixteen thousand, five hundred forty-four".