40507320 has 144 divisors (see below), whose sum is σ = 143085960. Its totient is φ = 9147264.

The previous prime is 40507307. The next prime is 40507321. The reversal of 40507320 is 2370504.

It is a happy number.

40507320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40507321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487999 + ... + 488081.

Almost surely, 2^40507320 is an apocalyptic number.

40507320 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 40507320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71542980).

40507320 is an abundant number, since it is smaller than the sum of its proper divisors (102578640).

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

40507320 is a wasteful number, since it uses less digits than its factorization.

40507320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 40507320 is about 6364.5361182100. The cubic root of 40507320 is about 343.4349611697.

Adding to 40507320 its reverse (2370504), we get a palindrome (42877824).

The spelling of 40507320 in words is "forty million, five hundred seven thousand, three hundred twenty".