13434401000 has 32 divisors (see below), whose sum is σ = 31436500680. Its totient is φ = 5373760000.

The previous prime is 13434400979. The next prime is 13434401009. The reversal of 13434401000 is 10443431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2725048804 + 10709352196 = 52202^2 + 103486^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13434401009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6716201 + ... + 6718200.

Almost surely, 2^13434401000 is an apocalyptic number.

13434401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13434401000 is an abundant number, since it is smaller than the sum of its proper divisors (18002099680).

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

13434401000 is a wasteful number, since it uses less digits than its factorization.

13434401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13434422 (or 13434408 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13434401000 its reverse (10443431), we get a palindrome (13444844431).

The spelling of 13434401000 in words is "thirteen billion, four hundred thirty-four million, four hundred one thousand".