13402191104640 has 1280 divisors, whose sum is σ = 52125688581120. Its totient is φ = 3262000398336.

The previous prime is 13402191104609. The next prime is 13402191104647. The reversal of 13402191104640 is 4640119120431.

13402191104640 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 1 + 9 + 1 + 1 + 0 + 4 + 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 = 13402191104595 and 13402191104604.

It is not an unprimeable number, because it can be changed into a prime (13402191104647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38623028947 + ... + 38623029293.

It is an arithmetic number, because the mean of its divisors is an integer number (40723194204).

Almost surely, 2^{13402191104640} is an apocalyptic number.

13402191104640 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 13402191104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26062844290560).

13402191104640 is an abundant number, since it is smaller than the sum of its proper divisors (38723497476480).

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

13402191104640 is a wasteful number, since it uses less digits than its factorization.

13402191104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13402191104640 in words is "thirteen trillion, four hundred two billion, one hundred ninety-one million, one hundred four thousand, six hundred forty".