406198096000 has 64 divisors (see below), whose sum is σ = 1009910055960. Its totient is φ = 162479232000.

The previous prime is 406198095977. The next prime is 406198096001. The reversal of 406198096000 is 690891604.

It can be written as a sum of positive squares in 4 ways, for example, as 258120899136 + 148077196864 = 508056^2 + 384808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (406198096001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12677691 + ... + 12709690.

Almost surely, 2^406198096000 is an apocalyptic number.

406198096000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406198096000 is an abundant number, since it is smaller than the sum of its proper divisors (603711959960).

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

406198096000 is an equidigital number, since it uses as much as digits as its factorization.

406198096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387410 (or 25387388 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 406198096000 in words is "four hundred six billion, one hundred ninety-eight million, ninety-six thousand".