4024331124440 has 128 divisors (see below), whose sum is σ = 9942581606400. Its totient is φ = 1453839045120.

The previous prime is 4024331124427. The next prime is 4024331124487. The reversal of 4024331124440 is 444211334204.

It is a junction number, because it is equal to n+sod(n) for n = 4024331124397 and 4024331124406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46608749 + ... + 46695011.

It is an arithmetic number, because the mean of its divisors is an integer number (77676418800).

Almost surely, 2^{4024331124440} is an apocalyptic number.

4024331124440 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 4024331124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971290803200).

4024331124440 is an abundant number, since it is smaller than the sum of its proper divisors (5918250481960).

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

4024331124440 is a wasteful number, since it uses less digits than its factorization.

4024331124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86977 (or 86973 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4024331124440 its reverse (444211334204), we get a palindrome (4468542458644).

The spelling of 4024331124440 in words is "four trillion, twenty-four billion, three hundred thirty-one million, one hundred twenty-four thousand, four hundred forty".