13440137333337 has 96 divisors (see below), whose sum is σ = 24062114119680. Its totient is φ = 7107138080640.

The previous prime is 13440137333317. The next prime is 13440137333407. The reversal of 13440137333337 is 73333373104431.

13440137333337 is a `hidden beast` number, since 13 + 440 + 137 + 3 + 3 + 33 + 37 = 666.

It is not a de Polignac number, because 13440137333337 - 2¹⁰ = 13440137332313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13440137333292 and 13440137333301.

It is not an unprimeable number, because it can be changed into a prime (13440137333317) 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, 10212328 + ... + 11453030.

It is an arithmetic number, because the mean of its divisors is an integer number (250647022080).

Almost surely, 2^{13440137333337} is an apocalyptic number.

It is an amenable number.

13440137333337 is a deficient number, since it is larger than the sum of its proper divisors (10621976786343).

13440137333337 is a wasteful number, since it uses less digits than its factorization.

13440137333337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241195 (or 1241192 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 45.

The spelling of 13440137333337 in words is "thirteen trillion, four hundred forty billion, one hundred thirty-seven million, three hundred thirty-three thousand, three hundred thirty-seven".