4112240020440 has 128 divisors (see below), whose sum is σ = 12601121218560. Its totient is φ = 1073102119424.

The previous prime is 4112240020367. The next prime is 4112240020451. The reversal of 4112240020440 is 440200422114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4112240020440.

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, 39501337 + ... + 39605303.

It is an arithmetic number, because the mean of its divisors is an integer number (98446259520).

Almost surely, 2^{4112240020440} is an apocalyptic number.

4112240020440 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 4112240020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300560609280).

4112240020440 is an abundant number, since it is smaller than the sum of its proper divisors (8488881198120).

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

4112240020440 is a wasteful number, since it uses less digits than its factorization.

4112240020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111041 (or 111037 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4112240020440 its reverse (440200422114), we get a palindrome (4552440442554).

The spelling of 4112240020440 in words is "four trillion, one hundred twelve billion, two hundred forty million, twenty thousand, four hundred forty".