1034400444 has 72 divisors (see below), whose sum is σ = 3031991424. Its totient is φ = 268672800.

The previous prime is 1034400443. The next prime is 1034400473. The reversal of 1034400444 is 4440044301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034400443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40722 + ... + 61049.

It is an arithmetic number, because the mean of its divisors is an integer number (42110992).

Almost surely, 2^1034400444 is an apocalyptic number.

1034400444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1034400444 is an abundant number, since it is smaller than the sum of its proper divisors (1997590980).

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

1034400444 is a wasteful number, since it uses less digits than its factorization.

1034400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101807 (or 101794 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1034400444 is about 32162.0963868962. The cubic root of 1034400444 is about 1011.3377835250.

Adding to 1034400444 its reverse (4440044301), we get a palindrome (5474444745).

The spelling of 1034400444 in words is "one billion, thirty-four million, four hundred thousand, four hundred forty-four".