40085788000 has 96 divisors (see below), whose sum is σ = 98557149600. Its totient is φ = 16023513600.

The previous prime is 40085787997. The next prime is 40085788003. The reversal of 40085788000 is 88758004.

It is an interprime number because it is at equal distance from previous prime (40085787997) and next prime (40085788003).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40085788003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8809726 + ... + 8814274.

It is an arithmetic number, because the mean of its divisors is an integer number (1026636975).

Almost surely, 2^40085788000 is an apocalyptic number.

40085788000 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 40085788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49278574800).

40085788000 is an abundant number, since it is smaller than the sum of its proper divisors (58471361600).

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

40085788000 is a wasteful number, since it uses less digits than its factorization.

40085788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 40085788000 in words is "forty billion, eighty-five million, seven hundred eighty-eight thousand".