40420100 has 108 divisors (see below), whose sum is σ = 104344884. Its totient is φ = 13547520.

The previous prime is 40420097. The next prime is 40420111. The reversal of 40420100 is 102404.

It can be written as a sum of positive squares in 6 ways, for example, as 7150276 + 33269824 = 2674^2 + 5768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357644 + ... + 357756.

Almost surely, 2^40420100 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 40420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52172442).

40420100 is an abundant number, since it is smaller than the sum of its proper divisors (63924784).

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

40420100 is a wasteful number, since it uses less digits than its factorization.

40420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 40420100 is about 6357.6803946093. The cubic root of 40420100 is about 343.1882903437.

Adding to 40420100 its reverse (102404), we get a palindrome (40522504).

The spelling of 40420100 in words is "forty million, four hundred twenty thousand, one hundred".