4246691328000 has 2496 divisors, whose sum is σ = 18083777886720. Its totient is φ = 984711168000.

The previous prime is 4246691327999. The next prime is 4246691328017. The reversal of 4246691328000 is 8231966424.

4246691328000 is a `hidden beast` number, since 424 + 66 + 91 + 3 + 2 + 80 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 39688703947 + ... + 39688704053.

It is an arithmetic number, because the mean of its divisors is an integer number (7245103320).

Almost surely, 2^{4246691328000} is an apocalyptic number.

4246691328000 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 4246691328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041888943360).

4246691328000 is an abundant number, since it is smaller than the sum of its proper divisors (13837086558720).

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

4246691328000 is a wasteful number, since it uses less digits than its factorization.

4246691328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4246691328000 in words is "four trillion, two hundred forty-six billion, six hundred ninety-one million, three hundred twenty-eight thousand".