40161300480 has 624 divisors, whose sum is σ = 168546403584. Its totient is φ = 8635023360.

The previous prime is 40161300479. The next prime is 40161300533. The reversal of 40161300480 is 8400316104.

40161300480 is a `hidden beast` number, since 4 + 0 + 1 + 613 + 0 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×40161300480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21933165 + ... + 21934995.

It is an arithmetic number, because the mean of its divisors is an integer number (270106416).

Almost surely, 2^40161300480 is an apocalyptic number.

40161300480 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 40161300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84273201792).

40161300480 is an abundant number, since it is smaller than the sum of its proper divisors (128385103104).

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

40161300480 is a wasteful number, since it uses less digits than its factorization.

40161300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40161300480 its reverse (8400316104), we get a palindrome (48561616584).

The spelling of 40161300480 in words is "forty billion, one hundred sixty-one million, three hundred thousand, four hundred eighty".