1004144254014 has 64 divisors (see below), whose sum is σ = 2237975101440. Its totient is φ = 297745300320.

The previous prime is 1004144253919. The next prime is 1004144254031. The reversal of 1004144254014 is 4104524414001.

It is a super-2 number, since 2×1004144254014² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14803027 + ... + 14870705.

It is an arithmetic number, because the mean of its divisors is an integer number (34968360960).

Almost surely, 2^{1004144254014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004144254014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118987550720).

1004144254014 is an abundant number, since it is smaller than the sum of its proper divisors (1233830847426).

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

1004144254014 is a wasteful number, since it uses less digits than its factorization.

1004144254014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72525.

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

Adding to 1004144254014 its reverse (4104524414001), we get a palindrome (5108668668015).

The spelling of 1004144254014 in words is "one trillion, four billion, one hundred forty-four million, two hundred fifty-four thousand, fourteen".