40407120 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 9939456.

The previous prime is 40407119. The next prime is 40407137. The reversal of 40407120 is 2170404.

It is a happy number.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 40407093 and 40407102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27361 + ... + 28799.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^40407120 is an apocalyptic number.

40407120 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 40407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

40407120 is an abundant number, since it is smaller than the sum of its proper divisors (109583280).

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

40407120 is a wasteful number, since it uses less digits than its factorization.

40407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40407120 is about 6356.6595000834. The cubic root of 40407120 is about 343.1515506941.

Adding to 40407120 its reverse (2170404), we get a palindrome (42577524).

The spelling of 40407120 in words is "forty million, four hundred seven thousand, one hundred twenty".