4157305152 has 448 divisors, whose sum is σ = 14987771904. Its totient is φ = 982056960.

The previous prime is 4157305111. The next prime is 4157305183. The reversal of 4157305152 is 2515037514.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4157305152² = 34566372253691486208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 18642513 + ... + 18642735.

It is an arithmetic number, because the mean of its divisors is an integer number (33454848).

Almost surely, 2^4157305152 is an apocalyptic number.

4157305152 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 4157305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493885952).

4157305152 is an abundant number, since it is smaller than the sum of its proper divisors (10830466752).

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

4157305152 is a wasteful number, since it uses less digits than its factorization.

4157305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 4157305152 is about 64477.1676797299. The cubic root of 4157305152 is about 1607.9429449324.

The spelling of 4157305152 in words is "four billion, one hundred fifty-seven million, three hundred five thousand, one hundred fifty-two".