40023120 has 160 divisors (see below), whose sum is σ = 133562880. Its totient is φ = 9884160.

The previous prime is 40023119. The next prime is 40023127. The reversal of 40023120 is 2132004.

It is a super-3 number, since 3×40023120³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40023096 and 40023105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40023127) 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, 305455 + ... + 305585.

It is an arithmetic number, because the mean of its divisors is an integer number (834768).

Almost surely, 2^40023120 is an apocalyptic number.

40023120 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 40023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781440).

40023120 is an abundant number, since it is smaller than the sum of its proper divisors (93539760).

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

40023120 is a wasteful number, since it uses less digits than its factorization.

40023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40023120 is about 6326.3828527840. The cubic root of 40023120 is about 342.0610677175.

Adding to 40023120 its reverse (2132004), we get a palindrome (42155124).

The spelling of 40023120 in words is "forty million, twenty-three thousand, one hundred twenty".