4314106240 has 64 divisors (see below), whose sum is σ = 10381943520. Its totient is φ = 1714176000.

The previous prime is 4314106229. The next prime is 4314106241. The reversal of 4314106240 is 426014134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4314106240² = 37223025300013875200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314106241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74320 + ... + 118960.

Almost surely, 2^4314106240 is an apocalyptic number.

4314106240 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 4314106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190971760).

4314106240 is an abundant number, since it is smaller than the sum of its proper divisors (6067837280).

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

4314106240 is a wasteful number, since it uses less digits than its factorization.

4314106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44811 (or 44799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4314106240 is about 65681.8562466074. The cubic root of 4314106240 is about 1627.9095788974.

The spelling of 4314106240 in words is "four billion, three hundred fourteen million, one hundred six thousand, two hundred forty".