4146698016000 has 2304 divisors, whose sum is σ = 16938565862400. Its totient is φ = 995328000000.

The previous prime is 4146698015989. The next prime is 4146698016029. The reversal of 4146698016000 is 6108966414.

4146698016000 is a `hidden beast` number, since 41 + 466 + 98 + 0 + 1 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41056415950 + ... + 41056416050.

It is an arithmetic number, because the mean of its divisors is an integer number (7351808100).

Almost surely, 2^{4146698016000} is an apocalyptic number.

4146698016000 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 4146698016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469282931200).

4146698016000 is an abundant number, since it is smaller than the sum of its proper divisors (12791867846400).

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

4146698016000 is a wasteful number, since it uses less digits than its factorization.

4146698016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4146698016000 in words is "four trillion, one hundred forty-six billion, six hundred ninety-eight million, sixteen thousand".