40310672585344 has 192 divisors, whose sum is σ = 100389155664960. Its totient is φ = 16017081163776.

The previous prime is 40310672585311. The next prime is 40310672585347. The reversal of 40310672585344 is 44358527601304.

It is a junction number, because it is equal to n+sod(n) for n = 40310672585291 and 40310672585300.

It is not an unprimeable number, because it can be changed into a prime (40310672585347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4322437 + ... + 9965179.

It is an arithmetic number, because the mean of its divisors is an integer number (522860185755).

Almost surely, 2^{40310672585344} 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 40310672585344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50194577832480).

40310672585344 is an abundant number, since it is smaller than the sum of its proper divisors (60078483079616).

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

40310672585344 is a wasteful number, since it uses less digits than its factorization.

40310672585344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5642855 (or 5642836 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 40310672585344 in words is "forty trillion, three hundred ten billion, six hundred seventy-two million, five hundred eighty-five thousand, three hundred forty-four".