40649656320 has 1152 divisors, whose sum is σ = 179441982720. Its totient is φ = 8281128960.

The previous prime is 40649656309. The next prime is 40649656321. The reversal of 40649656320 is 2365694604.

40649656320 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 9 + 6 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40649656321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 310302655 + ... + 310302785.

It is an arithmetic number, because the mean of its divisors is an integer number (155765610).

Almost surely, 2^40649656320 is an apocalyptic number.

40649656320 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 40649656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89720991360).

40649656320 is an abundant number, since it is smaller than the sum of its proper divisors (138792326400).

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

40649656320 is a wasteful number, since it uses less digits than its factorization.

40649656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 40649656320 in words is "forty billion, six hundred forty-nine million, six hundred fifty-six thousand, three hundred twenty".