4124400440440 has 160 divisors (see below), whose sum is σ = 11296604645280. Its totient is φ = 1352597680896.

The previous prime is 4124400440399. The next prime is 4124400440441. The reversal of 4124400440440 is 440440044214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124400440441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1275342 + ... + 3142498.

It is an arithmetic number, because the mean of its divisors is an integer number (70603779033).

Almost surely, 2^{4124400440440} is an apocalyptic number.

4124400440440 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 4124400440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648302322640).

4124400440440 is an abundant number, since it is smaller than the sum of its proper divisors (7172204204840).

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

4124400440440 is a wasteful number, since it uses less digits than its factorization.

4124400440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867219 (or 1867194 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 4124400440440 its reverse (440440044214), we get a palindrome (4564840484654).

The spelling of 4124400440440 in words is "four trillion, one hundred twenty-four billion, four hundred million, four hundred forty thousand, four hundred forty".