40215200 has 72 divisors (see below), whose sum is σ = 103985532. Its totient is φ = 15134720.

The previous prime is 40215193. The next prime is 40215233. The reversal of 40215200 is 251204.

It can be written as a sum of positive squares in 6 ways, for example, as 13630864 + 26584336 = 3692^2 + 5156^2 .

It is a super-2 number, since 2×40215200² = 3234524622080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12122 + ... + 15078.

Almost surely, 2^40215200 is an apocalyptic number.

40215200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51992766).

40215200 is an abundant number, since it is smaller than the sum of its proper divisors (63770332).

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

40215200 is a wasteful number, since it uses less digits than its factorization.

40215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 40215200 is about 6341.5455529390. The cubic root of 40215200 is about 342.6074041121.

Adding to 40215200 its reverse (251204), we get a palindrome (40466404).

The spelling of 40215200 in words is "forty million, two hundred fifteen thousand, two hundred".