40500720 has 120 divisors (see below), whose sum is σ = 146511456. Its totient is φ = 9967104.

The previous prime is 40500709. The next prime is 40500721. The reversal of 40500720 is 2700504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 40500693 and 40500702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40500721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7197 + ... + 11523.

Almost surely, 2^40500720 is an apocalyptic number.

40500720 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 40500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73255728).

40500720 is an abundant number, since it is smaller than the sum of its proper divisors (106010736).

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

40500720 is a wasteful number, since it uses less digits than its factorization.

40500720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 40500720 is about 6364.0175989700. The cubic root of 40500720 is about 343.4163078015.

It can be divided in two parts, 40500 and 720, that multiplied together give a square (29160000 = 5400²).

The spelling of 40500720 in words is "forty million, five hundred thousand, seven hundred twenty".