1001434400 has 72 divisors (see below), whose sum is σ = 2467810800. Its totient is φ = 396796160.

The previous prime is 1001434381. The next prime is 1001434433. The reversal of 1001434400 is 44341001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79751 + ... + 91449.

It is an arithmetic number, because the mean of its divisors is an integer number (34275150).

Almost surely, 2^1001434400 is an apocalyptic number.

1001434400 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 1001434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233905400).

1001434400 is an abundant number, since it is smaller than the sum of its proper divisors (1466376400).

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

1001434400 is a wasteful number, since it uses less digits than its factorization.

1001434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11826 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1001434400 is about 31645.4483298941. The cubic root of 1001434400 is about 1000.4779049039.

Adding to 1001434400 its reverse (44341001), we get a palindrome (1045775401).

The spelling of 1001434400 in words is "one billion, one million, four hundred thirty-four thousand, four hundred".