13193971440 has 80 divisors (see below), whose sum is σ = 44047576608. Its totient is φ = 3247746048.

The previous prime is 13193971433. The next prime is 13193971447. The reversal of 13193971440 is 4417939131.

It is an interprime number because it is at equal distance from previous prime (13193971433) and next prime (13193971447).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13193971392 and 13193971401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13193971447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2111299 + ... + 2117538.

Almost surely, 2^13193971440 is an apocalyptic number.

13193971440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13193971440 is an abundant number, since it is smaller than the sum of its proper divisors (30853605168).

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

13193971440 is a wasteful number, since it uses less digits than its factorization.

13193971440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228866 (or 4228860 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 13193971440 in words is "thirteen billion, one hundred ninety-three million, nine hundred seventy-one thousand, four hundred forty".