40000200 has 96 divisors (see below), whose sum is σ = 125066400. Its totient is φ = 10575360.

The previous prime is 40000183. The next prime is 40000211. The reversal of 40000200 is 200004.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97596 + ... + 98004.

It is an arithmetic number, because the mean of its divisors is an integer number (1302775).

Almost surely, 2^40000200 is an apocalyptic number.

40000200 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 40000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62533200).

40000200 is an abundant number, since it is smaller than the sum of its proper divisors (85066200).

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

40000200 is a wasteful number, since it uses less digits than its factorization.

40000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 40000200 is about 6324.5711317053. The cubic root of 40000200 is about 341.9957593264.

Adding to 40000200 its reverse (200004), we get a palindrome (40200204).

It can be divided in two parts, 40000 and 200, that multiplied together give a cube (8000000 = 200³).

The spelling of 40000200 in words is "forty million, two hundred", and thus it is an aban number.