4312693840 has 120 divisors (see below), whose sum is σ = 12561461640. Its totient is φ = 1364880384.

The previous prime is 4312693831. The next prime is 4312693843. The reversal of 4312693840 is 483962134.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 782432784 + 3530261056 = 27972^2 + 59416^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4312693793 and 4312693802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312693843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8646 + ... + 93274.

It is an arithmetic number, because the mean of its divisors is an integer number (104678847).

Almost surely, 2^4312693840 is an apocalyptic number.

4312693840 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 4312693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280730820).

4312693840 is an abundant number, since it is smaller than the sum of its proper divisors (8248767800).

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

4312693840 is a wasteful number, since it uses less digits than its factorization.

4312693840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84669 (or 84656 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 4312693840 is about 65671.1035387711. The cubic root of 4312693840 is about 1627.7319051356.

The spelling of 4312693840 in words is "four billion, three hundred twelve million, six hundred ninety-three thousand, eight hundred forty".