40641120 has 216 divisors, whose sum is σ = 151076016. Its totient is φ = 9944064.

The previous prime is 40641109. The next prime is 40641137. The reversal of 40641120 is 2114604.

40641120 is a `hidden beast` number, since 4 + 0 + 641 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40641093 and 40641102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243277 + ... + 243443.

It is an arithmetic number, because the mean of its divisors is an integer number (699426).

Almost surely, 2^40641120 is an apocalyptic number.

40641120 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 40641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75538008).

40641120 is an abundant number, since it is smaller than the sum of its proper divisors (110434896).

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

40641120 is a wasteful number, since it uses less digits than its factorization.

40641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40641120 is about 6375.0388234112. The cubic root of 40641120 is about 343.8126796997.

Adding to 40641120 its reverse (2114604), we get a palindrome (42755724).

It can be divided in two parts, 4064 and 1120, that added together give a square (5184 = 72²).

The spelling of 40641120 in words is "forty million, six hundred forty-one thousand, one hundred twenty".