13432141440 has 256 divisors, whose sum is σ = 48355833600. Its totient is φ = 3522908160.

The previous prime is 13432141369. The next prime is 13432141451. The reversal of 13432141440 is 4414123431.

13432141440 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 214 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047709 + ... + 1060451.

It is an arithmetic number, because the mean of its divisors is an integer number (188889975).

Almost surely, 2^13432141440 is an apocalyptic number.

13432141440 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 13432141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24177916800).

13432141440 is an abundant number, since it is smaller than the sum of its proper divisors (34923692160).

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

13432141440 is a wasteful number, since it uses less digits than its factorization.

13432141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12832 (or 12814 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13432141440 its reverse (4414123431), we get a palindrome (17846264871).

The spelling of 13432141440 in words is "thirteen billion, four hundred thirty-two million, one hundred forty-one thousand, four hundred forty".