13673240437000 has 64 divisors (see below), whose sum is σ = 33877463995440. Its totient is φ = 5147572864000.

The previous prime is 13673240436941. The next prime is 13673240437009. The reversal of 13673240437000 is 73404237631.

It can be written as a sum of positive squares in 8 ways, for example, as 4440623044 + 13668799813956 = 66638^2 + 3697134^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13673240437009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402137131 + ... + 402171130.

Almost surely, 2^{13673240437000} is an apocalyptic number.

13673240437000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13673240437000 is an abundant number, since it is smaller than the sum of its proper divisors (20204223558440).

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

13673240437000 is a wasteful number, since it uses less digits than its factorization.

13673240437000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804308299 (or 804308285 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 13673240437000 in words is "thirteen trillion, six hundred seventy-three billion, two hundred forty million, four hundred thirty-seven thousand".