1004413123014 has 128 divisors (see below), whose sum is σ = 2395643351040. Its totient is φ = 274752694656.

The previous prime is 1004413122989. The next prime is 1004413123019. The reversal of 1004413123014 is 4103213144001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004413123019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106091509 + ... + 106100975.

It is an arithmetic number, because the mean of its divisors is an integer number (18715963680).

Almost surely, 2^{1004413123014} is an apocalyptic number.

1004413123014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004413123014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197821675520).

1004413123014 is an abundant number, since it is smaller than the sum of its proper divisors (1391230228026).

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

1004413123014 is a wasteful number, since it uses less digits than its factorization.

1004413123014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1004413123014 its reverse (4103213144001), we get a palindrome (5107626267015).

The spelling of 1004413123014 in words is "one trillion, four billion, four hundred thirteen million, one hundred twenty-three thousand, fourteen".