40365602640 has 320 divisors, whose sum is σ = 152540236800. Its totient is φ = 9729907200.

The previous prime is 40365602617. The next prime is 40365602681. The reversal of 40365602640 is 4620656304.

40365602640 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 5 + 6 + 0 + 2 + 640 = 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 = 40365602595 and 40365602604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4248295 + ... + 4257785.

It is an arithmetic number, because the mean of its divisors is an integer number (476688240).

Almost surely, 2^40365602640 is an apocalyptic number.

40365602640 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 40365602640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76270118400).

40365602640 is an abundant number, since it is smaller than the sum of its proper divisors (112174634160).

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

40365602640 is a wasteful number, since it uses less digits than its factorization.

40365602640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 40365602640 in words is "forty billion, three hundred sixty-five million, six hundred two thousand, six hundred forty".