40064318976 has 320 divisors, whose sum is σ = 122582439936. Its totient is φ = 11509555200.

The previous prime is 40064318939. The next prime is 40064319017. The reversal of 40064318976 is 67981346004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50907255 + ... + 50908041.

Almost surely, 2^40064318976 is an apocalyptic number.

40064318976 is a gapful number since it is divisible by the number (46) 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 40064318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61291219968).

40064318976 is an abundant number, since it is smaller than the sum of its proper divisors (82518120960).

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

40064318976 is a wasteful number, since it uses less digits than its factorization.

40064318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 40064318976 in words is "forty billion, sixty-four million, three hundred eighteen thousand, nine hundred seventy-six".