40440120 has 128 divisors (see below), whose sum is σ = 143216640. Its totient is φ = 8939520.

The previous prime is 40440119. The next prime is 40440121. The reversal of 40440120 is 2104404.

It is an interprime number because it is at equal distance from previous prime (40440119) and next prime (40440121).

It is a super-2 number, since 2×40440120² = 3270806611228800, 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 40440120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40440121) 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, 25264 + ... + 26816.

It is an arithmetic number, because the mean of its divisors is an integer number (1118880).

Almost surely, 2^40440120 is an apocalyptic number.

40440120 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 40440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608320).

40440120 is an abundant number, since it is smaller than the sum of its proper divisors (102776520).

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

40440120 is a wasteful number, since it uses less digits than its factorization.

40440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 40440120 is about 6359.2546733088. The cubic root of 40440120 is about 343.2449411647.

Adding to 40440120 its reverse (2104404), we get a palindrome (42544524).

The spelling of 40440120 in words is "forty million, four hundred forty thousand, one hundred twenty".