4312234311840 has 2880 divisors, whose sum is σ = 19987421110272. Its totient is φ = 855932313600.

The previous prime is 4312234311817. The next prime is 4312234311877. The reversal of 4312234311840 is 481134322134.

4312234311840 is a `hidden beast` number, since 4 + 31 + 2 + 234 + 311 + 84 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4312234311795 and 4312234311804.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20437129335 + ... + 20437129545.

Almost surely, 2^{4312234311840} is an apocalyptic number.

4312234311840 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 4312234311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993710555136).

4312234311840 is an abundant number, since it is smaller than the sum of its proper divisors (15675186798432).

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

4312234311840 is a wasteful number, since it uses less digits than its factorization.

4312234311840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 4312234311840 its reverse (481134322134), we get a palindrome (4793368633974).

The spelling of 4312234311840 in words is "four trillion, three hundred twelve billion, two hundred thirty-four million, three hundred eleven thousand, eight hundred forty".