368008137040 has 160 divisors (see below), whose sum is σ = 895785166080. Its totient is φ = 140420431872.

The previous prime is 368008137031. The next prime is 368008137047. The reversal of 368008137040 is 40731800863.

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

It is a junction number, because it is equal to n+sod(n) for n = 368008136984 and 368008137002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368008137047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185206927 + ... + 185208913.

It is an arithmetic number, because the mean of its divisors is an integer number (5598657288).

Almost surely, 2^368008137040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368008137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447892583040).

368008137040 is an abundant number, since it is smaller than the sum of its proper divisors (527777029040).

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

368008137040 is a wasteful number, since it uses less digits than its factorization.

368008137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 368008137040 in words is "three hundred sixty-eight billion, eight million, one hundred thirty-seven thousand, forty".