40536805320 has 768 divisors, whose sum is σ = 160095398400. Its totient is φ = 9083289600.

The previous prime is 40536805313. The next prime is 40536805333. The reversal of 40536805320 is 2350863504.

It is a happy number.

40536805320 is a `hidden beast` number, since 40 + 5 + 3 + 6 + 80 + 532 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 157730632 + ... + 157730888.

It is an arithmetic number, because the mean of its divisors is an integer number (208457550).

Almost surely, 2^40536805320 is an apocalyptic number.

40536805320 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 40536805320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80047699200).

40536805320 is an abundant number, since it is smaller than the sum of its proper divisors (119558593080).

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

40536805320 is a wasteful number, since it uses less digits than its factorization.

40536805320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 40536805320 in words is "forty billion, five hundred thirty-six million, eight hundred five thousand, three hundred twenty".