4405124114040 has 192 divisors, whose sum is σ = 14316795208800. Its totient is φ = 1084327276032.

The previous prime is 4405124114029. The next prime is 4405124114087. The reversal of 4405124114040 is 404114215044.

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 = 4405124113989 and 4405124114007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44505726 + ... + 44604594.

Almost surely, 2^{4405124114040} is an apocalyptic number.

4405124114040 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 4405124114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158397604400).

4405124114040 is an abundant number, since it is smaller than the sum of its proper divisors (9911671094760).

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

4405124114040 is an frugal number, since it uses more digits than its factorization.

4405124114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98948 (or 98892 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 4405124114040 its reverse (404114215044), we get a palindrome (4809238329084).

The spelling of 4405124114040 in words is "four trillion, four hundred five billion, one hundred twenty-four million, one hundred fourteen thousand, forty".