40520100 has 72 divisors (see below), whose sum is σ = 121047808. Its totient is φ = 10454400.

The previous prime is 40520093. The next prime is 40520107. The reversal of 40520100 is 102504.

It is an interprime number because it is at equal distance from previous prime (40520093) and next prime (40520107).

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

It is not an unprimeable number, because it can be changed into a prime (40520107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7122 + ... + 11478.

Almost surely, 2^40520100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60523904).

40520100 is an abundant number, since it is smaller than the sum of its proper divisors (80527708).

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

40520100 is a wasteful number, since it uses less digits than its factorization.

40520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 40520100 is about 6365.5400399338. The cubic root of 40520100 is about 343.4710751140.

Adding to 40520100 its reverse (102504), we get a palindrome (40622604).

The spelling of 40520100 in words is "forty million, five hundred twenty thousand, one hundred".