40640207328 has 192 divisors, whose sum is σ = 141357726720. Its totient is φ = 11106602496.

The previous prime is 40640207317. The next prime is 40640207347. The reversal of 40640207328 is 82370204604.

40640207328 is a `hidden beast` number, since 4 + 0 + 640 + 2 + 0 + 7 + 3 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40640207292 and 40640207301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6975 + ... + 285182.

It is an arithmetic number, because the mean of its divisors is an integer number (736238160).

Almost surely, 2^40640207328 is an apocalyptic number.

40640207328 is a gapful number since it is divisible by the number (48) 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 40640207328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70678863360).

40640207328 is an abundant number, since it is smaller than the sum of its proper divisors (100717519392).

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

40640207328 is a wasteful number, since it uses less digits than its factorization.

40640207328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292206 (or 292192 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40640207328 in words is "forty billion, six hundred forty million, two hundred seven thousand, three hundred twenty-eight".