40213620 has 72 divisors (see below), whose sum is σ = 124979400. Its totient is φ = 10460160.

The previous prime is 40213597. The next prime is 40213627. The reversal of 40213620 is 2631204.

It is a happy number.

40213620 is a `hidden beast` number, since 40 + 2 + 1 + 3 + 620 = 666.

40213620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 38787984 = 1194^2 + 6228^2 .

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 = 40213593 and 40213602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40213627) 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 23 ways as a sum of consecutive naturals, for example, 4656 + ... + 10104.

It is an arithmetic number, because the mean of its divisors is an integer number (1735825).

Almost surely, 2^40213620 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 40213620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62489700).

40213620 is an abundant number, since it is smaller than the sum of its proper divisors (84765780).

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

40213620 is a wasteful number, since it uses less digits than its factorization.

40213620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40213620 is about 6341.4209764058. The cubic root of 40213620 is about 342.6029171952.

Adding to 40213620 its reverse (2631204), we get a palindrome (42844824).

The spelling of 40213620 in words is "forty million, two hundred thirteen thousand, six hundred twenty".