4163420795040 has 288 divisors, whose sum is σ = 15443574846336. Its totient is φ = 1015263590400.

The previous prime is 4163420795033. The next prime is 4163420795063. The reversal of 4163420795040 is 405970243614.

4163420795040 is a `hidden beast` number, since 4 + 1 + 634 + 2 + 0 + 7 + 9 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963765 + ... + 3042315.

It is an arithmetic number, because the mean of its divisors is an integer number (53623523772).

Almost surely, 2^{4163420795040} is an apocalyptic number.

4163420795040 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 4163420795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721787423168).

4163420795040 is an abundant number, since it is smaller than the sum of its proper divisors (11280154051296).

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

4163420795040 is a wasteful number, since it uses less digits than its factorization.

4163420795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078692 (or 2078681 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4163420795040 in words is "four trillion, one hundred sixty-three billion, four hundred twenty million, seven hundred ninety-five thousand, forty".