40206420 has 72 divisors (see below), whose sum is σ = 125276424. Its totient is φ = 10430208.

The previous prime is 40206409. The next prime is 40206421. The reversal of 40206420 is 2460204.

40206420 is a `hidden beast` number, since 4 + 0 + 20 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 34503876 = 2388^2 + 5874^2 .

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 = 40206393 and 40206402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40206421) 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, 3642 + ... + 9678.

Almost surely, 2^40206420 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 40206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62638212).

40206420 is an abundant number, since it is smaller than the sum of its proper divisors (85070004).

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

40206420 is a wasteful number, since it uses less digits than its factorization.

40206420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40206420 is about 6340.8532548861. The cubic root of 40206420 is about 342.5824689968.

Adding to 40206420 its reverse (2460204), we get a palindrome (42666624).

It can be divided in two parts, 4020 and 6420, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 40206420 in words is "forty million, two hundred six thousand, four hundred twenty".