40045520 has 80 divisors (see below), whose sum is σ = 98899920. Its totient is φ = 15052800.

The previous prime is 40045517. The next prime is 40045547. The reversal of 40045520 is 2554004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16581184 + 23464336 = 4072^2 + 4844^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40045492 and 40045501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94910 + ... + 95330.

It is an arithmetic number, because the mean of its divisors is an integer number (1236249).

Almost surely, 2^40045520 is an apocalyptic number.

40045520 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 40045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49449960).

40045520 is an abundant number, since it is smaller than the sum of its proper divisors (58854400).

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

40045520 is a wasteful number, since it uses less digits than its factorization.

40045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 40045520 is about 6328.1529690740. The cubic root of 40045520 is about 342.1248703306.

Adding to 40045520 its reverse (2554004), we get a palindrome (42599524).

The spelling of 40045520 in words is "forty million, forty-five thousand, five hundred twenty".