40468412160 has 288 divisors, whose sum is σ = 156663279360. Its totient is φ = 9810432000.

The previous prime is 40468412141. The next prime is 40468412167. The reversal of 40468412160 is 6121486404.

It is a happy number.

40468412160 is a `hidden beast` number, since 40 + 46 + 8 + 412 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40468412167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326935 + ... + 433385.

It is an arithmetic number, because the mean of its divisors is an integer number (543969720).

Almost surely, 2^40468412160 is an apocalyptic number.

40468412160 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 40468412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78331639680).

40468412160 is an abundant number, since it is smaller than the sum of its proper divisors (116194867200).

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

40468412160 is a wasteful number, since it uses less digits than its factorization.

40468412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106492 (or 106472 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 40468412160 its reverse (6121486404), we get a palindrome (46589898564).

The spelling of 40468412160 in words is "forty billion, four hundred sixty-eight million, four hundred twelve thousand, one hundred sixty".