40466768384 has 120 divisors (see below), whose sum is σ = 96059208960. Its totient is φ = 16973408256.

The previous prime is 40466768359. The next prime is 40466768393. The reversal of 40466768384 is 48386766404.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1161977 + ... + 1196295.

It is an arithmetic number, because the mean of its divisors is an integer number (800493408).

Almost surely, 2^40466768384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40466768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48029604480).

40466768384 is an abundant number, since it is smaller than the sum of its proper divisors (55592440576).

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

40466768384 is an equidigital number, since it uses as much as digits as its factorization.

40466768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34398 (or 34375 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 56.

The spelling of 40466768384 in words is "forty billion, four hundred sixty-six million, seven hundred sixty-eight thousand, three hundred eighty-four".