4601318400 has 660 divisors, whose sum is σ = 19533587568. Its totient is φ = 1048412160.

The previous prime is 4601318387. The next prime is 4601318417. The reversal of 4601318400 is 48131064.

4601318400 is a `hidden beast` number, since 4 + 601 + 3 + 18 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14515042 + ... + 14515358.

Almost surely, 2^4601318400 is an apocalyptic number.

4601318400 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 4601318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766793784).

4601318400 is an abundant number, since it is smaller than the sum of its proper divisors (14932269168).

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

4601318400 is a wasteful number, since it uses less digits than its factorization.

4601318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4601318400 is about 67833.0185086879. The cubic root of 4601318400 is about 1663.2623703053.

Adding to 4601318400 its reverse (48131064), we get a palindrome (4649449464).

The spelling of 4601318400 in words is "four billion, six hundred one million, three hundred eighteen thousand, four hundred".