1040334400 has 168 divisors, whose sum is σ = 3027395520. Its totient is φ = 344279040.

The previous prime is 1040334353. The next prime is 1040334401. The reversal of 1040334400 is 44330401.

It is not an unprimeable number, because it can be changed into a prime (1040334401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323199 + ... + 326401.

Almost surely, 2^1040334400 is an apocalyptic number.

1040334400 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 1040334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513697760).

1040334400 is an abundant number, since it is smaller than the sum of its proper divisors (1987061120).

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

1040334400 is a wasteful number, since it uses less digits than its factorization.

1040334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1040334400 is about 32254.2152284008. The cubic root of 1040334400 is about 1013.2679820890.

Adding to 1040334400 its reverse (44330401), we get a palindrome (1084664801).

The spelling of 1040334400 in words is "one billion, forty million, three hundred thirty-four thousand, four hundred".