1034414224344 has 48 divisors (see below), whose sum is σ = 2801837984400. Its totient is φ = 344767884864.

The previous prime is 1034414224343. The next prime is 1034414224369. The reversal of 1034414224344 is 4434224144301.

1034414224344 is a `hidden beast` number, since 10 + 3 + 4 + 414 + 224 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1034414224299 and 1034414224308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034414224343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 85404 + ... + 1440875.

It is an arithmetic number, because the mean of its divisors is an integer number (58371624675).

Almost surely, 2^{1034414224344} is an apocalyptic number.

It is an amenable number.

1034414224344 is an abundant number, since it is smaller than the sum of its proper divisors (1767423760056).

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

1034414224344 is a wasteful number, since it uses less digits than its factorization.

1034414224344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535704 (or 1535697 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1034414224344 its reverse (4434224144301), we get a palindrome (5468638368645).

The spelling of 1034414224344 in words is "one trillion, thirty-four billion, four hundred fourteen million, two hundred twenty-four thousand, three hundred forty-four".