40161120 has 96 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 10360320.

The previous prime is 40161113. The next prime is 40161167. The reversal of 40161120 is 2116104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40161120² = 3225831119308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40161120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13531 + ... + 16229.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^40161120 is an apocalyptic number.

40161120 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 40161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

40161120 is an abundant number, since it is smaller than the sum of its proper divisors (90475680).

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

40161120 is a wasteful number, since it uses less digits than its factorization.

40161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 40161120 is about 6337.2801737023. The cubic root of 40161120 is about 342.4537597191.

Adding to 40161120 its reverse (2116104), we get a palindrome (42277224).

The spelling of 40161120 in words is "forty million, one hundred sixty-one thousand, one hundred twenty".