1004644001214 has 128 divisors (see below), whose sum is σ = 2578580628480. Its totient is φ = 284000919552.

The previous prime is 1004644001213. The next prime is 1004644001227. The reversal of 1004644001214 is 4121004464001.

1004644001214 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 6 + 440 + 0 + 1 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004644001213) 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, 24625597 + ... + 24666359.

It is an arithmetic number, because the mean of its divisors is an integer number (20145161160).

Almost surely, 2^{1004644001214} is an apocalyptic number.

1004644001214 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 1004644001214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289290314240).

1004644001214 is an abundant number, since it is smaller than the sum of its proper divisors (1573936627266).

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

1004644001214 is a wasteful number, since it uses less digits than its factorization.

1004644001214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41471 (or 41465 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1004644001214 its reverse (4121004464001), we get a palindrome (5125648465215).

The spelling of 1004644001214 in words is "one trillion, four billion, six hundred forty-four million, one thousand, two hundred fourteen".