13432667040 has 576 divisors, whose sum is σ = 51778621440. Its totient is φ = 3148554240.

The previous prime is 13432666981. The next prime is 13432667041. The reversal of 13432667040 is 4076623431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13432666986 and 13432667004.

It is not an unprimeable number, because it can be changed into a prime (13432667041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45845134 + ... + 45845426.

It is an arithmetic number, because the mean of its divisors is an integer number (89893440).

Almost surely, 2^13432667040 is an apocalyptic number.

13432667040 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 13432667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25889310720).

13432667040 is an abundant number, since it is smaller than the sum of its proper divisors (38345954400).

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

13432667040 is a wasteful number, since it uses less digits than its factorization.

13432667040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13432667040 in words is "thirteen billion, four hundred thirty-two million, six hundred sixty-seven thousand, forty".