40644395616 has 288 divisors, whose sum is σ = 121626707328. Its totient is φ = 11883168000.

The previous prime is 40644395593. The next prime is 40644395641. The reversal of 40644395616 is 61659344604.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122792571 + ... + 122792901.

It is an arithmetic number, because the mean of its divisors is an integer number (422314956).

Almost surely, 2^40644395616 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 40644395616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60813353664).

40644395616 is an abundant number, since it is smaller than the sum of its proper divisors (80982311712).

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

40644395616 is a wasteful number, since it uses less digits than its factorization.

40644395616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 40644395616 in words is "forty billion, six hundred forty-four million, three hundred ninety-five thousand, six hundred sixteen".