40313022400000 has 480 divisors, whose sum is σ = 115241758055424. Its totient is φ = 13799808000000.

The previous prime is 40313022399983. The next prime is 40313022400009. The reversal of 40313022400000 is 422031304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40313022400009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8142397525 + ... + 8142402475.

Almost surely, 2^{40313022400000} is an apocalyptic number.

40313022400000 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 40313022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57620879027712).

40313022400000 is an abundant number, since it is smaller than the sum of its proper divisors (74928735655424).

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

40313022400000 is an frugal number, since it uses more digits than its factorization.

40313022400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 40313022400000 its reverse (422031304), we get a palindrome (40313444431304).

The spelling of 40313022400000 in words is "forty trillion, three hundred thirteen billion, twenty-two million, four hundred thousand".