416243361803040 has 1152 divisors, whose sum is σ = 1497977312832000. Its totient is φ = 109138384060416.

The previous prime is 416243361803011. The next prime is 416243361803047. The reversal of 416243361803040 is 40308163342614.

416243361803040 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 4 + 336 + 1 + 8 + 0 + 304 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (416243361803047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 426042335032 + ... + 426042336008.

It is an arithmetic number, because the mean of its divisors is an integer number (1300327528500).

Almost surely, 2^{416243361803040} is an apocalyptic number.

416243361803040 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 416243361803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748988656416000).

416243361803040 is an abundant number, since it is smaller than the sum of its proper divisors (1081733951028960).

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

416243361803040 is a wasteful number, since it uses less digits than its factorization.

416243361803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 416243361803040 in words is "four hundred sixteen trillion, two hundred forty-three billion, three hundred sixty-one million, eight hundred three thousand, forty".