415550016000 has 960 divisors, whose sum is σ = 1785322446336. Its totient is φ = 90832896000.

The previous prime is 415550015939. The next prime is 415550016001. The reversal of 415550016000 is 610055514.

It is a happy number.

415550016000 is a `hidden beast` number, since 4 + 1 + 5 + 5 + 50 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (415550016001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92733760 + ... + 92738240.

Almost surely, 2^415550016000 is an apocalyptic number.

415550016000 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 415550016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892661223168).

415550016000 is an abundant number, since it is smaller than the sum of its proper divisors (1369772430336).

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

415550016000 is a wasteful number, since it uses less digits than its factorization.

415550016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 415550016000 in words is "four hundred fifteen billion, five hundred fifty million, sixteen thousand".