4146683674080 has 192 divisors, whose sum is σ = 13096051799040. Its totient is φ = 1102907836416.

The previous prime is 4146683674079. The next prime is 4146683674129. The reversal of 4146683674080 is 804763866414.

It is a self number, because there is not a number n which added to its sum of digits gives 4146683674080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327717034 + ... + 327729686.

It is an arithmetic number, because the mean of its divisors is an integer number (68208603120).

Almost surely, 2^{4146683674080} is an apocalyptic number.

4146683674080 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 4146683674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548025899520).

4146683674080 is an abundant number, since it is smaller than the sum of its proper divisors (8949368124960).

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

4146683674080 is a wasteful number, since it uses less digits than its factorization.

4146683674080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14393 (or 14385 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 4146683674080 in words is "four trillion, one hundred forty-six billion, six hundred eighty-three million, six hundred seventy-four thousand, eighty".