40205100 has 144 divisors (see below), whose sum is σ = 128082080. Its totient is φ = 9734400.

The previous prime is 40205093. The next prime is 40205101. The reversal of 40205100 is 150204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40205101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659070 + ... + 659130.

Almost surely, 2^40205100 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 40205100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64041040).

40205100 is an abundant number, since it is smaller than the sum of its proper divisors (87876980).

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

40205100 is a wasteful number, since it uses less digits than its factorization.

40205100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 40205100 is about 6340.7491670937. The cubic root of 40205100 is about 342.5787198957.

Adding to 40205100 its reverse (150204), we get a palindrome (40355304).

The spelling of 40205100 in words is "forty million, two hundred five thousand, one hundred".