1034211221424 has 160 divisors (see below), whose sum is σ = 3067337011200. Its totient is φ = 333289105920.

The previous prime is 1034211221411. The next prime is 1034211221501. The reversal of 1034211221424 is 4241221124301.

1034211221424 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 11 + 221 + 424 = 666.

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

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, 13796557 + ... + 13871315.

It is an arithmetic number, because the mean of its divisors is an integer number (19170856320).

Almost surely, 2^{1034211221424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034211221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533668505600).

1034211221424 is an abundant number, since it is smaller than the sum of its proper divisors (2033125789776).

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

1034211221424 is a wasteful number, since it uses less digits than its factorization.

1034211221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75840 (or 75828 counting only the distinct ones).

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

Adding to 1034211221424 its reverse (4241221124301), we get a palindrome (5275432345725).

The spelling of 1034211221424 in words is "one trillion, thirty-four billion, two hundred eleven million, two hundred twenty-one thousand, four hundred twenty-four".