40890120 has 64 divisors (see below), whose sum is σ = 125677440. Its totient is φ = 10636800.

The previous prime is 40890103. The next prime is 40890131. The reversal of 40890120 is 2109804.

It is a super-2 number, since 2×40890120² = 3344003827228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 765 + ... + 9075.

It is an arithmetic number, because the mean of its divisors is an integer number (1963710).

Almost surely, 2^40890120 is an apocalyptic number.

40890120 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 40890120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62838720).

40890120 is an abundant number, since it is smaller than the sum of its proper divisors (84787320).

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

40890120 is a wasteful number, since it uses less digits than its factorization.

40890120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 40890120 is about 6394.5382945135. The cubic root of 40890120 is about 344.5134077046.

Adding to 40890120 its reverse (2109804), we get a palindrome (42999924).

The spelling of 40890120 in words is "forty million, eight hundred ninety thousand, one hundred twenty".