1144400334 has 96 divisors (see below), whose sum is σ = 2918969088. Its totient is φ = 292723200.

The previous prime is 1144400333. The next prime is 1144400353. The reversal of 1144400334 is 4330044411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144400333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338814 + ... + 342174.

It is an arithmetic number, because the mean of its divisors is an integer number (30405928).

Almost surely, 2^1144400334 is an apocalyptic number.

1144400334 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 1144400334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459484544).

1144400334 is an abundant number, since it is smaller than the sum of its proper divisors (1774568754).

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

1144400334 is a wasteful number, since it uses less digits than its factorization.

1144400334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1144400334 is about 33828.9865943395. The cubic root of 1144400334 is about 1045.9862895129.

Adding to 1144400334 its reverse (4330044411), we get a palindrome (5474444745).

The spelling of 1144400334 in words is "one billion, one hundred forty-four million, four hundred thousand, three hundred thirty-four".