40160160000 has 405 divisors, whose sum is σ = 145564850431. Its totient is φ = 10645248000.

The previous prime is 40160159993. The next prime is 40160160031. The reversal of 40160160000 is 6106104.

The square root of 40160160000 is 200400.

It is a perfect power (a square), and thus also a powerful number.

40160160000 is a `hidden beast` number, since 4 + 0 + 1 + 60 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3148556544 + 37011603456 = 56112^2 + 192384^2 .

It is a super-2 number, since 2×40160160000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 240479917 + ... + 240480083.

Almost surely, 2^40160160000 is an apocalyptic number.

40160160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40160160000 is the 200400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40160160000

40160160000 is an abundant number, since it is smaller than the sum of its proper divisors (105404690431).

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

40160160000 is an frugal number, since it uses more digits than its factorization.

40160160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Multiplying 40160160000 by its product of nonzero digits (144), we get a square (5783063040000 = 2404800²).

40160160000 divided by its product of nonzero digits (144) gives a square (278890000 = 16700²).

Adding to 40160160000 its reverse (6106104), we get a palindrome (40166266104).

The spelling of 40160160000 in words is "forty billion, one hundred sixty million, one hundred sixty thousand".