13406048640 has 512 divisors, whose sum is σ = 50232960000. Its totient is φ = 3372171264.

The previous prime is 13406048597. The next prime is 13406048653. The reversal of 13406048640 is 4684060431.

13406048640 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 6 + 0 + 4 + 8 + 640 = 666.

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 = 13406048595 and 13406048604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35371971 + ... + 35372349.

It is an arithmetic number, because the mean of its divisors is an integer number (98111250).

Almost surely, 2^13406048640 is an apocalyptic number.

13406048640 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 13406048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116480000).

13406048640 is an abundant number, since it is smaller than the sum of its proper divisors (36826911360).

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

13406048640 is a wasteful number, since it uses less digits than its factorization.

13406048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13406048640 in words is "thirteen billion, four hundred six million, forty-eight thousand, six hundred forty".