4312540111440 has 320 divisors, whose sum is σ = 14809039303680. Its totient is φ = 1029363793920.

The previous prime is 4312540111381. The next prime is 4312540111463. The reversal of 4312540111440 is 441110452134.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4312540111398 and 4312540111407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475625787 + ... + 475634853.

It is an arithmetic number, because the mean of its divisors is an integer number (46278247824).

Almost surely, 2^{4312540111440} is an apocalyptic number.

4312540111440 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 4312540111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7404519651840).

4312540111440 is an abundant number, since it is smaller than the sum of its proper divisors (10496499192240).

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

4312540111440 is a wasteful number, since it uses less digits than its factorization.

4312540111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11850 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 4312540111440 its reverse (441110452134), we get a palindrome (4753650563574).

The spelling of 4312540111440 in words is "four trillion, three hundred twelve billion, five hundred forty million, one hundred eleven thousand, four hundred forty".