4411002122040 has 128 divisors (see below), whose sum is σ = 13393737504000. Its totient is φ = 1161982771200.

The previous prime is 4411002121949. The next prime is 4411002122041. The reversal of 4411002122040 is 402212001144.

It is a junction number, because it is equal to n+sod(n) for n = 4411002121998 and 4411002122016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411002122041) 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, 172285240 + ... + 172310840.

It is an arithmetic number, because the mean of its divisors is an integer number (104638574250).

Almost surely, 2^{4411002122040} is an apocalyptic number.

4411002122040 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 4411002122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696868752000).

4411002122040 is an abundant number, since it is smaller than the sum of its proper divisors (8982735381960).

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

4411002122040 is a wasteful number, since it uses less digits than its factorization.

4411002122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42997 (or 42993 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 4411002122040 its reverse (402212001144), we get a palindrome (4813214123184).

The spelling of 4411002122040 in words is "four trillion, four hundred eleven billion, two million, one hundred twenty-two thousand, forty".