13760096023040 has 1280 divisors, whose sum is σ = 40442447232000. Its totient is φ = 4447178588160.

The previous prime is 13760096023039. The next prime is 13760096023049. The reversal of 13760096023040 is 4032069006731.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (13760096023049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33643266356 + ... + 33643266764.

It is an arithmetic number, because the mean of its divisors is an integer number (31595661900).

Almost surely, 2^{13760096023040} is an apocalyptic number.

13760096023040 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 13760096023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20221223616000).

13760096023040 is an abundant number, since it is smaller than the sum of its proper divisors (26682351208960).

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

13760096023040 is a wasteful number, since it uses less digits than its factorization.

13760096023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 13760096023040 in words is "thirteen trillion, seven hundred sixty billion, ninety-six million, twenty-three thousand, forty".