40605932160 has 192 divisors, whose sum is σ = 140680219680. Its totient is φ = 10792507392.

The previous prime is 40605932119. The next prime is 40605932161. The reversal of 40605932160 is 6123950604.

It is a happy number.

40605932160 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 593 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (40605932161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1756839 + ... + 1779801.

Almost surely, 2^40605932160 is an apocalyptic number.

40605932160 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 40605932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70340109840).

40605932160 is an abundant number, since it is smaller than the sum of its proper divisors (100074287520).

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

40605932160 is a wasteful number, since it uses less digits than its factorization.

40605932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23295 (or 23280 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 40605932160 in words is "forty billion, six hundred five million, nine hundred thirty-two thousand, one hundred sixty".