40163195520 has 768 divisors, whose sum is σ = 166808678400. Its totient is φ = 9044545536.

The previous prime is 40163195509. The next prime is 40163195537. The reversal of 40163195520 is 2559136104.

40163195520 is a `hidden beast` number, since 4 + 0 + 16 + 31 + 95 + 520 = 666.

It is a super-3 number, since 3×40163195520³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 86002327 + ... + 86002793.

It is an arithmetic number, because the mean of its divisors is an integer number (217198800).

Almost surely, 2^40163195520 is an apocalyptic number.

40163195520 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 40163195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83404339200).

40163195520 is an abundant number, since it is smaller than the sum of its proper divisors (126645482880).

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

40163195520 is an equidigital number, since it uses as much as digits as its factorization.

40163195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 40163195520 in words is "forty billion, one hundred sixty-three million, one hundred ninety-five thousand, five hundred twenty".