4132110112440 has 128 divisors (see below), whose sum is σ = 12601886195520. Its totient is φ = 1083631104000.

The previous prime is 4132110112409. The next prime is 4132110112447. The reversal of 4132110112440 is 442110112314.

It is a happy number.

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 4132110112440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132110112447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41681812 + ... + 41780828.

Almost surely, 2^{4132110112440} is an apocalyptic number.

4132110112440 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 4132110112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300943097760).

4132110112440 is an abundant number, since it is smaller than the sum of its proper divisors (8469776083080).

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

4132110112440 is a wasteful number, since it uses less digits than its factorization.

4132110112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104793 (or 104789 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4132110112440 its reverse (442110112314), we get a palindrome (4574220224754).

The spelling of 4132110112440 in words is "four trillion, one hundred thirty-two billion, one hundred ten million, one hundred twelve thousand, four hundred forty".