4157313600 has 168 divisors, whose sum is σ = 14879592288. Its totient is φ = 1007820800.

The previous prime is 4157313581. The next prime is 4157313653. The reversal of 4157313600 is 63137514.

4157313600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13432 + ... + 92168.

Almost surely, 2^4157313600 is an apocalyptic number.

4157313600 is a gapful number since it is divisible by the number (40) 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 4157313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439796144).

4157313600 is an abundant number, since it is smaller than the sum of its proper divisors (10722278688).

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

4157313600 is a wasteful number, since it uses less digits than its factorization.

4157313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78773 (or 78758 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 4157313600 is about 64477.2331912591. The cubic root of 4157313600 is about 1607.9440340909.

The spelling of 4157313600 in words is "four billion, one hundred fifty-seven million, three hundred thirteen thousand, six hundred".