4268140096896 has 320 divisors, whose sum is σ = 13696707781680. Its totient is φ = 1311572570112.

The previous prime is 4268140096777. The next prime is 4268140096933. The reversal of 4268140096896 is 6986900418624.

4268140096896 is a `hidden beast` number, since 4 + 2 + 6 + 81 + 400 + 9 + 68 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106054890 + ... + 106095126.

Almost surely, 2^{4268140096896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4268140096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848353890840).

4268140096896 is an abundant number, since it is smaller than the sum of its proper divisors (9428567684784).

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

4268140096896 is a wasteful number, since it uses less digits than its factorization.

4268140096896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41063 (or 41042 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 4268140096896 in words is "four trillion, two hundred sixty-eight billion, one hundred forty million, ninety-six thousand, eight hundred ninety-six".