4157441460 has 144 divisors (see below), whose sum is σ = 13401185616. Its totient is φ = 1039650816.

The previous prime is 4157441459. The next prime is 4157441461. The reversal of 4157441460 is 641447514.

It is a happy number.

4157441460 is a `hidden beast` number, since 4 + 1 + 574 + 41 + 46 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4157441459) and next prime (4157441461).

It can be written as a sum of positive squares in 8 ways, for example, as 202037796 + 3955403664 = 14214^2 + 62892^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157441461) 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 47 ways as a sum of consecutive naturals, for example, 894262 + ... + 898898.

It is an arithmetic number, because the mean of its divisors is an integer number (93063789).

Almost surely, 2^4157441460 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 4157441460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700592808).

4157441460 is an abundant number, since it is smaller than the sum of its proper divisors (9243744156).

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

4157441460 is a wasteful number, since it uses less digits than its factorization.

4157441460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4157441460 is about 64478.2246964043. The cubic root of 4157441460 is about 1607.9605182628.

Adding to 4157441460 its reverse (641447514), we get a palindrome (4798888974).

The spelling of 4157441460 in words is "four billion, one hundred fifty-seven million, four hundred forty-one thousand, four hundred sixty".