40366766880 has 384 divisors, whose sum is σ = 154685583360. Its totient is φ = 9750481920.

The previous prime is 40366766873. The next prime is 40366766927. The reversal of 40366766880 is 8866766304.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14587257 + ... + 14590023.

It is an arithmetic number, because the mean of its divisors is an integer number (402827040).

Almost surely, 2^40366766880 is an apocalyptic number.

40366766880 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 40366766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77342791680).

40366766880 is an abundant number, since it is smaller than the sum of its proper divisors (114318816480).

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

40366766880 is a wasteful number, since it uses less digits than its factorization.

40366766880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3095 counting only the distinct ones).

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

The spelling of 40366766880 in words is "forty billion, three hundred sixty-six million, seven hundred sixty-six thousand, eight hundred eighty".