406050662000 has 160 divisors (see below), whose sum is σ = 993040798464. Its totient is φ = 160572192000.

The previous prime is 406050661957. The next prime is 406050662009. The reversal of 406050662000 is 266050604.

It is a super-2 number, since 2×406050662000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406050662009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122192339 + ... + 122195661.

Almost surely, 2^406050662000 is an apocalyptic number.

406050662000 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 406050662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496520399232).

406050662000 is an abundant number, since it is smaller than the sum of its proper divisors (586990136464).

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

406050662000 is a wasteful number, since it uses less digits than its factorization.

406050662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 406050662000 in words is "four hundred six billion, fifty million, six hundred sixty-two thousand".