406630435200 has 384 divisors, whose sum is σ = 1462741200000. Its totient is φ = 98466201600.

The previous prime is 406630435199. The next prime is 406630435223. The reversal of 406630435200 is 2534036604.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131892859 + ... + 131895941.

It is an arithmetic number, because the mean of its divisors is an integer number (3809221875).

Almost surely, 2^406630435200 is an apocalyptic number.

406630435200 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 406630435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731370600000).

406630435200 is an abundant number, since it is smaller than the sum of its proper divisors (1056110764800).

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

406630435200 is a wasteful number, since it uses less digits than its factorization.

406630435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 406630435200 in words is "four hundred six billion, six hundred thirty million, four hundred thirty-five thousand, two hundred".