4157298432 has 216 divisors, whose sum is σ = 14207729536. Its totient is φ = 1187675136.

The previous prime is 4157298421. The next prime is 4157298433. The reversal of 4157298432 is 2348927514.

4157298432 is a `hidden beast` number, since 41 + 572 + 9 + 8 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157298433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 430683 + ... + 440229.

Almost surely, 2^4157298432 is an apocalyptic number.

4157298432 is a gapful number since it is divisible by the number (42) 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 4157298432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103864768).

4157298432 is an abundant number, since it is smaller than the sum of its proper divisors (10050431104).

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

4157298432 is an frugal number, since it uses more digits than its factorization.

4157298432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9559 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4157298432 is about 64477.1155682386. The cubic root of 4157298432 is about 1607.9420785552.

The spelling of 4157298432 in words is "four billion, one hundred fifty-seven million, two hundred ninety-eight thousand, four hundred thirty-two".