40106220 has 96 divisors (see below), whose sum is σ = 140023296. Its totient is φ = 8332800.

The previous prime is 40106197. The next prime is 40106221. The reversal of 40106220 is 2260104.

It is a super-3 number, since 3×40106220³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40106220.

It is not an unprimeable number, because it can be changed into a prime (40106221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280 + ... + 8960.

It is an arithmetic number, because the mean of its divisors is an integer number (1458576).

Almost surely, 2^40106220 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 40106220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70011648).

40106220 is an abundant number, since it is smaller than the sum of its proper divisors (99917076).

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

40106220 is a wasteful number, since it uses less digits than its factorization.

40106220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40106220 is about 6332.9471812103. The cubic root of 40106220 is about 342.2976445116.

Adding to 40106220 its reverse (2260104), we get a palindrome (42366324).

The spelling of 40106220 in words is "forty million, one hundred six thousand, two hundred twenty".