13335640715040 has 288 divisors, whose sum is σ = 49176857225664. Its totient is φ = 3028730664960.

The previous prime is 13335640715039. The next prime is 13335640715051. The reversal of 13335640715040 is 4051704653331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13335640714983 and 13335640715001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1886935 + ... + 5498345.

It is an arithmetic number, because the mean of its divisors is an integer number (170752976478).

Almost surely, 2^{13335640715040} is an apocalyptic number.

13335640715040 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 13335640715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588428612832).

13335640715040 is an abundant number, since it is smaller than the sum of its proper divisors (35841216510624).

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

13335640715040 is a wasteful number, since it uses less digits than its factorization.

13335640715040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611600 (or 3611585 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 13335640715040 in words is "thirteen trillion, three hundred thirty-five billion, six hundred forty million, seven hundred fifteen thousand, forty".