4157444340 has 384 divisors, whose sum is σ = 15734476800. Its totient is φ = 890196480.

The previous prime is 4157444329. The next prime is 4157444351. The reversal of 4157444340 is 434447514.

4157444340 is a `hidden beast` number, since 4 + 1 + 574 + 4 + 43 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4157444329) and next prime (4157444351).

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 = 4157444295 and 4157444304.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 7684470 + ... + 7685010.

It is an arithmetic number, because the mean of its divisors is an integer number (40975200).

Almost surely, 2^4157444340 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 4157444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867238400).

4157444340 is an abundant number, since it is smaller than the sum of its proper divisors (11577032460).

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

4157444340 is a wasteful number, since it uses less digits than its factorization.

4157444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4157444340 is about 64478.2470295215. The cubic root of 4157444340 is about 1607.9608895589.

The spelling of 4157444340 in words is "four billion, one hundred fifty-seven million, four hundred forty-four thousand, three hundred forty".