40442119786992 has 240 divisors, whose sum is σ = 139559079254400. Its totient is φ = 9951580961280.

The previous prime is 40442119786987. The next prime is 40442119786997. The reversal of 40442119786992 is 29968791124404.

It is an interprime number because it is at equal distance from previous prime (40442119786987) and next prime (40442119786997).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442119786997) 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 47 ways as a sum of consecutive naturals, for example, 40644267 + ... + 41627402.

It is an arithmetic number, because the mean of its divisors is an integer number (581496163560).

Almost surely, 2^{40442119786992} is an apocalyptic number.

40442119786992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40442119786992 is an abundant number, since it is smaller than the sum of its proper divisors (99116959467408).

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

40442119786992 is a wasteful number, since it uses less digits than its factorization.

40442119786992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82271724 (or 82271711 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 40442119786992 in words is "forty trillion, four hundred forty-two billion, one hundred nineteen million, seven hundred eighty-six thousand, nine hundred ninety-two".