4311347040 has 768 divisors, whose sum is σ = 20280637440. Its totient is φ = 826122240.

The previous prime is 4311346997. The next prime is 4311347059. The reversal of 4311347040 is 407431134.

4311347040 is a `hidden beast` number, since 4 + 311 + 347 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4311346995 and 4311347013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4323822 + ... + 4324818.

It is an arithmetic number, because the mean of its divisors is an integer number (26407080).

Almost surely, 2^4311347040 is an apocalyptic number.

4311347040 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 4311347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140318720).

4311347040 is an abundant number, since it is smaller than the sum of its proper divisors (15969290400).

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

4311347040 is a wasteful number, since it uses less digits than its factorization.

4311347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4311347040 is about 65660.8486085887. The cubic root of 4311347040 is about 1627.5624474329.

Adding to 4311347040 its reverse (407431134), we get a palindrome (4718778174).

The spelling of 4311347040 in words is "four billion, three hundred eleven million, three hundred forty-seven thousand, forty".