13695131197440 has 2688 divisors, whose sum is σ = 62181962219520. Its totient is φ = 2705168793600.

The previous prime is 13695131197403. The next prime is 13695131197463. The reversal of 13695131197440 is 4479113159631.

It is a happy number.

13695131197440 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 5 + 1 + 3 + 1 + 197 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104542986175 + ... + 104542986305.

Almost surely, 2^{13695131197440} is an apocalyptic number.

13695131197440 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 13695131197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31090981109760).

13695131197440 is an abundant number, since it is smaller than the sum of its proper divisors (48486831022080).

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

13695131197440 is a wasteful number, since it uses less digits than its factorization.

13695131197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 13695131197440 in words is "thirteen trillion, six hundred ninety-five billion, one hundred thirty-one million, one hundred ninety-seven thousand, four hundred forty".