40382094376080 has 640 divisors, whose sum is σ = 152799265935360. Its totient is φ = 9758332846080.

The previous prime is 40382094376067. The next prime is 40382094376087. The reversal of 40382094376080 is 8067349028304.

40382094376080 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 20 + 9 + 4 + 3 + 7 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40382094376087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224159002 + ... + 224339078.

It is an arithmetic number, because the mean of its divisors is an integer number (238748853024).

Almost surely, 2^{40382094376080} is an apocalyptic number.

40382094376080 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 40382094376080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76399632967680).

40382094376080 is an abundant number, since it is smaller than the sum of its proper divisors (112417171559280).

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

40382094376080 is a wasteful number, since it uses less digits than its factorization.

40382094376080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180344 (or 180332 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 40382094376080 in words is "forty trillion, three hundred eighty-two billion, ninety-four million, three hundred seventy-six thousand, eighty".