406661416000000 has 560 divisors, whose sum is σ = 1163128439265408. Its totient is φ = 139139942400000.

The previous prime is 406661415999973. The next prime is 406661416000003. The reversal of 406661416000000 is 614166604.

It is a tau number, because it is divible by the number of its divisors (560).

It is a self number, because there is not a number n which added to its sum of digits gives 406661416000000.

It is not an unprimeable number, because it can be changed into a prime (406661416000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28167992782 + ... + 28168007218.

Almost surely, 2^{406661416000000} is an apocalyptic number.

406661416000000 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 406661416000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581564219632704).

406661416000000 is an abundant number, since it is smaller than the sum of its proper divisors (756467023265408).

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

406661416000000 is an frugal number, since it uses more digits than its factorization.

406661416000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14995 (or 14954 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 406661416000000 in words is "four hundred six trillion, six hundred sixty-one billion, four hundred sixteen million", and thus it is an aban number.