400034000200 has 24 divisors (see below), whose sum is σ = 930079050930. Its totient is φ = 160013600000.

The previous prime is 400034000131. The next prime is 400034000213. The reversal of 400034000200 is 2000430004.

It can be written as a sum of positive squares in 3 ways, for example, as 235397691684 + 164636308516 = 485178^2 + 405754^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1000084801 + ... + 1000085200.

Almost surely, 2^400034000200 is an apocalyptic number.

400034000200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400034000200 is an abundant number, since it is smaller than the sum of its proper divisors (530045050730).

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

400034000200 is a wasteful number, since it uses less digits than its factorization.

400034000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000170017 (or 2000170008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 400034000200 its reverse (2000430004), we get a palindrome (402034430204).

The spelling of 400034000200 in words is "four hundred billion, thirty-four million, two hundred", and thus it is an aban number.