1110434000 has 80 divisors (see below), whose sum is σ = 2891637840. Its totient is φ = 409996800.

The previous prime is 1110433993. The next prime is 1110434051. The reversal of 1110434000 is 4340111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 725332624 + 385101376 = 26932^2 + 19624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4646 + ... + 47354.

It is an arithmetic number, because the mean of its divisors is an integer number (36145473).

Almost surely, 2^1110434000 is an apocalyptic number.

1110434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445818920).

1110434000 is an abundant number, since it is smaller than the sum of its proper divisors (1781203840).

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

1110434000 is a wasteful number, since it uses less digits than its factorization.

1110434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42745 (or 42729 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1110434000 is about 33323.1751188268. The cubic root of 1110434000 is about 1035.5337317333.

Adding to 1110434000 its reverse (4340111), we get a palindrome (1114774111).

The spelling of 1110434000 in words is "one billion, one hundred ten million, four hundred thirty-four thousand".