13168621440 has 768 divisors, whose sum is σ = 52749748800. Its totient is φ = 3085516800.

The previous prime is 13168621399. The next prime is 13168621451. The reversal of 13168621440 is 4412686131.

13168621440 is a `hidden beast` number, since 13 + 16 + 8 + 621 + 4 + 4 + 0 = 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 = 13168621395 and 13168621404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215879010 + ... + 215879070.

Almost surely, 2^13168621440 is an apocalyptic number.

13168621440 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 13168621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26374874400).

13168621440 is an abundant number, since it is smaller than the sum of its proper divisors (39581127360).

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

13168621440 is a wasteful number, since it uses less digits than its factorization.

13168621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13168621440 in words is "thirteen billion, one hundred sixty-eight million, six hundred twenty-one thousand, four hundred forty".