407166720000 has 240 divisors, whose sum is σ = 1356469634520. Its totient is φ = 108576768000.

The previous prime is 407166719933. The next prime is 407166720001. The reversal of 407166720000 is 27661704.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407166720001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3786984 + ... + 3893016.

Almost surely, 2^407166720000 is an apocalyptic number.

407166720000 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 407166720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678234817260).

407166720000 is an abundant number, since it is smaller than the sum of its proper divisors (949302914520).

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

407166720000 is an equidigital number, since it uses as much as digits as its factorization.

407166720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106078 (or 106043 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 407166720000 in words is "four hundred seven billion, one hundred sixty-six million, seven hundred twenty thousand".