4298139648000 has 2880 divisors, whose sum is σ = 18946644837120. Its totient is φ = 924844032000.

The previous prime is 4298139647993. The next prime is 4298139648059. The reversal of 4298139648000 is 8469318924.

4298139648000 is a `hidden beast` number, since 4 + 29 + 8 + 139 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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, 99956735979 + ... + 99956736021.

It is an arithmetic number, because the mean of its divisors is an integer number (6578696124).

Almost surely, 2^{4298139648000} is an apocalyptic number.

4298139648000 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 4298139648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473322418560).

4298139648000 is an abundant number, since it is smaller than the sum of its proper divisors (14648505189120).

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

4298139648000 is a wasteful number, since it uses less digits than its factorization.

4298139648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 4298139648000 in words is "four trillion, two hundred ninety-eight billion, one hundred thirty-nine million, six hundred forty-eight thousand".