40766032800 has 432 divisors, whose sum is σ = 147849287040. Its totient is φ = 10564485120.

The previous prime is 40766032789. The next prime is 40766032823. The reversal of 40766032800 is 823066704.

40766032800 is a `hidden beast` number, since 40 + 7 + 6 + 603 + 2 + 8 + 0 + 0 = 666.

40766032800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60573264 + ... + 60573936.

It is an arithmetic number, because the mean of its divisors is an integer number (342243720).

Almost surely, 2^40766032800 is an apocalyptic number.

40766032800 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 40766032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73924643520).

40766032800 is an abundant number, since it is smaller than the sum of its proper divisors (107083254240).

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

40766032800 is a wasteful number, since it uses less digits than its factorization.

40766032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 40766032800 its sum of digits (36), we get a square (40766032836 = 201906²).

The spelling of 40766032800 in words is "forty billion, seven hundred sixty-six million, thirty-two thousand, eight hundred".