4157162100 has 432 divisors, whose sum is σ = 16181797632. Its totient is φ = 869253120.

The previous prime is 4157162021. The next prime is 4157162129. The reversal of 4157162100 is 12617514.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 15806569 + ... + 15806831.

Almost surely, 2^4157162100 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 4157162100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090898816).

4157162100 is an abundant number, since it is smaller than the sum of its proper divisors (12024635532).

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

4157162100 is a wasteful number, since it uses less digits than its factorization.

4157162100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 4157162100 is about 64476.0583472656. The cubic root of 4157162100 is about 1607.9245017274.

Adding to 4157162100 its reverse (12617514), we get a palindrome (4169779614).

The spelling of 4157162100 in words is "four billion, one hundred fifty-seven million, one hundred sixty-two thousand, one hundred".