1004222414034 has 128 divisors (see below), whose sum is σ = 2586468188160. Its totient is φ = 282890361600.

The previous prime is 1004222414021. The next prime is 1004222414057. The reversal of 1004222414034 is 4304142224001.

1004222414034 is a `hidden beast` number, since 10 + 0 + 4 + 2 + 2 + 241 + 403 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1004222413989 and 1004222414007.

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, 8096829 + ... + 8219919.

It is an arithmetic number, because the mean of its divisors is an integer number (20206782720).

Almost surely, 2^{1004222414034} is an apocalyptic number.

1004222414034 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 1004222414034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293234094080).

1004222414034 is an abundant number, since it is smaller than the sum of its proper divisors (1582245774126).

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

1004222414034 is a wasteful number, since it uses less digits than its factorization.

1004222414034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123413 (or 123407 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1004222414034 its reverse (4304142224001), we get a palindrome (5308364638035).

The spelling of 1004222414034 in words is "one trillion, four billion, two hundred twenty-two million, four hundred fourteen thousand, thirty-four".