4314505104 has 720 divisors, whose sum is σ = 16614174720. Its totient is φ = 1018967040.

The previous prime is 4314505081. The next prime is 4314505109. The reversal of 4314505104 is 4015054134.

It is a happy number.

4314505104 is a `hidden beast` number, since 4 + 3 + 145 + 0 + 510 + 4 = 666.

It is a super-2 number, since 2×4314505104² = 37229908584884101632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4314505109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100337307 + ... + 100337349.

Almost surely, 2^4314505104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314505104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307087360).

4314505104 is an abundant number, since it is smaller than the sum of its proper divisors (12299669616).

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

4314505104 is a wasteful number, since it uses less digits than its factorization.

4314505104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4314505104 is about 65684.8925096175. The cubic root of 4314505104 is about 1627.9597472274.

Adding to 4314505104 its reverse (4015054134), we get a palindrome (8329559238).

The spelling of 4314505104 in words is "four billion, three hundred fourteen million, five hundred five thousand, one hundred four".