13402305386496 has 1152 divisors, whose sum is σ = 45151766936640. Its totient is φ = 3793294983168.

The previous prime is 13402305386447. The next prime is 13402305386497. The reversal of 13402305386496 is 69468350320431.

13402305386496 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 23 + 0 + 53 + 86 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402305386497) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42278565730 + ... + 42278566046.

Almost surely, 2^{13402305386496} is an apocalyptic number.

13402305386496 is a gapful number since it is divisible by the number (16) 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 13402305386496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22575883468320).

13402305386496 is an abundant number, since it is smaller than the sum of its proper divisors (31749461550144).

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

13402305386496 is a wasteful number, since it uses less digits than its factorization.

13402305386496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 13402305386496 in words is "thirteen trillion, four hundred two billion, three hundred five million, three hundred eighty-six thousand, four hundred ninety-six".