1004114224140 has 192 divisors, whose sum is σ = 3089589350400. Its totient is φ = 242530142976.

The previous prime is 1004114224129. The next prime is 1004114224177. The reversal of 1004114224140 is 414224114001.

1004114224140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1004114224140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66565039 + ... + 66580121.

It is an arithmetic number, because the mean of its divisors is an integer number (16091611200).

Almost surely, 2^{1004114224140} is an apocalyptic number.

1004114224140 is a gapful number since it is divisible by the number (10) 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 1004114224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544794675200).

1004114224140 is an abundant number, since it is smaller than the sum of its proper divisors (2085475126260).

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

1004114224140 is a wasteful number, since it uses less digits than its factorization.

1004114224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17676 (or 17674 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1004114224140 its reverse (414224114001), we get a palindrome (1418338338141).

The spelling of 1004114224140 in words is "one trillion, four billion, one hundred fourteen million, two hundred twenty-four thousand, one hundred forty".