4157842368 has 112 divisors (see below), whose sum is σ = 11244925440. Its totient is φ = 1355387904.

The previous prime is 4157842363. The next prime is 4157842373. The reversal of 4157842368 is 8632487514.

It is an interprime number because it is at equal distance from previous prime (4157842363) and next prime (4157842373).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157842363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4955293 + ... + 4956131.

It is an arithmetic number, because the mean of its divisors is an integer number (100401120).

Almost surely, 2^4157842368 is an apocalyptic number.

4157842368 is a gapful number since it is divisible by the number (48) 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 4157842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622462720).

4157842368 is an abundant number, since it is smaller than the sum of its proper divisors (7087083072).

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

4157842368 is a wasteful number, since it uses less digits than its factorization.

4157842368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1384 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 4157842368 is about 64481.3334849707. Note that the first 3 decimals coincide. The cubic root of 4157842368 is about 1608.0122025756.

The spelling of 4157842368 in words is "four billion, one hundred fifty-seven million, eight hundred forty-two thousand, three hundred sixty-eight".