406848960000 has 1800 divisors, whose sum is σ = 1808884190520. Its totient is φ = 89994240000.

The previous prime is 406848959999. The next prime is 406848960013. The reversal of 406848960000 is 69848604.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13124159985 + ... + 13124160015.

Almost surely, 2^406848960000 is an apocalyptic number.

406848960000 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 406848960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904442095260).

406848960000 is an abundant number, since it is smaller than the sum of its proper divisors (1402035230520).

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

406848960000 is an frugal number, since it uses more digits than its factorization.

406848960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 406848960000 in words is "four hundred six billion, eight hundred forty-eight million, nine hundred sixty thousand".