13671713341440 has 864 divisors, whose sum is σ = 59091947905536. Its totient is φ = 2840781127680.

The previous prime is 13671713341423. The next prime is 13671713341457. The reversal of 13671713341440 is 4414331717631.

13671713341440 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 171 + 3 + 34 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (13671713341423) and next prime (13671713341457).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 454149429 + ... + 454179531.

It is an arithmetic number, because the mean of its divisors is an integer number (68393458224).

Almost surely, 2^{13671713341440} is an apocalyptic number.

13671713341440 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 13671713341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29545973952768).

13671713341440 is an abundant number, since it is smaller than the sum of its proper divisors (45420234564096).

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

13671713341440 is an equidigital number, since it uses as much as digits as its factorization.

13671713341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30166 (or 30131 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13671713341440 in words is "thirteen trillion, six hundred seventy-one billion, seven hundred thirteen million, three hundred forty-one thousand, four hundred forty".