40065382080 has 448 divisors, whose sum is σ = 153599692800. Its totient is φ = 9794027520.

The previous prime is 40065382073. The next prime is 40065382087. The reversal of 40065382080 is 8028356004.

40065382080 is a `hidden beast` number, since 40 + 0 + 6 + 538 + 2 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (40065382073) and next prime (40065382087).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40065382087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5085024 + ... + 5092896.

Almost surely, 2^40065382080 is an apocalyptic number.

40065382080 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 40065382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76799846400).

40065382080 is an abundant number, since it is smaller than the sum of its proper divisors (113534310720).

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

40065382080 is a wasteful number, since it uses less digits than its factorization.

40065382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40065382080 in words is "forty billion, sixty-five million, three hundred eighty-two thousand, eighty".