40362393120000 has 1440 divisors, whose sum is σ = 162151758827520. Its totient is φ = 8704143360000.

The previous prime is 40362393119977. The next prime is 40362393120001. The reversal of 40362393120000 is 2139326304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40362393120001) 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 159 ways as a sum of consecutive naturals, for example, 17300638834 + ... + 17300641166.

Almost surely, 2^{40362393120000} is an apocalyptic number.

40362393120000 is a gapful number since it is divisible by the number (40) 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 40362393120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81075879413760).

40362393120000 is an abundant number, since it is smaller than the sum of its proper divisors (121789365707520).

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

40362393120000 is a wasteful number, since it uses less digits than its factorization.

40362393120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 40362393120000 in words is "forty trillion, three hundred sixty-two billion, three hundred ninety-three million, one hundred twenty thousand".