13432441000 has 64 divisors (see below), whose sum is σ = 34289386560. Its totient is φ = 4884520000.

The previous prime is 13432440997. The next prime is 13432441003. The reversal of 13432441000 is 14423431.

It is an interprime number because it is at equal distance from previous prime (13432440997) and next prime (13432441003).

It is a super-3 number, since 3×13432441000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13432441003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599566 + ... + 621565.

It is an arithmetic number, because the mean of its divisors is an integer number (535771665).

Almost surely, 2^13432441000 is an apocalyptic number.

13432441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13432441000 is an abundant number, since it is smaller than the sum of its proper divisors (20856945560).

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

13432441000 is a wasteful number, since it uses less digits than its factorization.

13432441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221163 (or 1221149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13432441000 its reverse (14423431), we get a palindrome (13446864431).

The spelling of 13432441000 in words is "thirteen billion, four hundred thirty-two million, four hundred forty-one thousand".