406713720000 has 630 divisors, whose sum is σ = 1570202021388. Its totient is φ = 92609664000.

The previous prime is 406713719953. The next prime is 406713720019. The reversal of 406713720000 is 27317604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 406713720000.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1546439869 + ... + 1546440131.

Almost surely, 2^406713720000 is an apocalyptic number.

406713720000 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 406713720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785101010694).

406713720000 is an abundant number, since it is smaller than the sum of its proper divisors (1163488301388).

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

406713720000 is an frugal number, since it uses more digits than its factorization.

406713720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 406713720000 in words is "four hundred six billion, seven hundred thirteen million, seven hundred twenty thousand".