4315334400 has 864 divisors, whose sum is σ = 18203209920. Its totient is φ = 990904320.

The previous prime is 4315334389. The next prime is 4315334449. The reversal of 4315334400 is 44335134.

4315334400 is a `hidden beast` number, since 4 + 315 + 3 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4315334400² = 37244221967646720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38188744 + ... + 38188856.

It is an arithmetic number, because the mean of its divisors is an integer number (21068530).

Almost surely, 2^4315334400 is an apocalyptic number.

4315334400 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 4315334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101604960).

4315334400 is an abundant number, since it is smaller than the sum of its proper divisors (13887875520).

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

4315334400 is a wasteful number, since it uses less digits than its factorization.

4315334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4315334400 is about 65691.2048907614. The cubic root of 4315334400 is about 1628.0640445519.

Adding to 4315334400 its reverse (44335134), we get a palindrome (4359669534).

The spelling of 4315334400 in words is "four billion, three hundred fifteen million, three hundred thirty-four thousand, four hundred".