406228992000 has 512 divisors, whose sum is σ = 1456475005440. Its totient is φ = 99955507200.

The previous prime is 406228991999. The next prime is 406228992007. The reversal of 406228992000 is 299822604.

It is a tau number, because it is divible by the number of its divisors (512).

It is not an unprimeable number, because it can be changed into a prime (406228992007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159742729 + ... + 159745271.

It is an arithmetic number, because the mean of its divisors is an integer number (2844677745).

Almost surely, 2^406228992000 is an apocalyptic number.

406228992000 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 406228992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728237502720).

406228992000 is an abundant number, since it is smaller than the sum of its proper divisors (1050246013440).

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

406228992000 is an equidigital number, since it uses as much as digits as its factorization.

406228992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 406228992000 in words is "four hundred six billion, two hundred twenty-eight million, nine hundred ninety-two thousand".