40213000 has 32 divisors (see below), whose sum is σ = 94100760. Its totient is φ = 16084800.

The previous prime is 40212989. The next prime is 40213001. The reversal of 40213000 is 31204.

It can be written as a sum of positive squares in 4 ways, for example, as 10771524 + 29441476 = 3282^2 + 5426^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40213001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19107 + ... + 21106.

Almost surely, 2^40213000 is an apocalyptic number.

40213000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40213000 is an abundant number, since it is smaller than the sum of its proper divisors (53887760).

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

40213000 is a wasteful number, since it uses less digits than its factorization.

40213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40234 (or 40220 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 40213000 is about 6341.3720912749. The cubic root of 40213000 is about 342.6011564741.

Adding to 40213000 its reverse (31204), we get a palindrome (40244204).

It can be divided in two parts, 4021 and 3000, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 40213000 in words is "forty million, two hundred thirteen thousand".