4115462798880 has 288 divisors, whose sum is σ = 14512411630080. Its totient is φ = 1060929515520.

The previous prime is 4115462798789. The next prime is 4115462798939. The reversal of 4115462798880 is 888972645114.

4115462798880 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 462 + 7 + 98 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42493551 + ... + 42590289.

It is an arithmetic number, because the mean of its divisors is an integer number (50390318160).

Almost surely, 2^{4115462798880} is an apocalyptic number.

4115462798880 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 4115462798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256205815040).

4115462798880 is an abundant number, since it is smaller than the sum of its proper divisors (10396948831200).

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

4115462798880 is a wasteful number, since it uses less digits than its factorization.

4115462798880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97744 (or 97733 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 4115462798880 in words is "four trillion, one hundred fifteen billion, four hundred sixty-two million, seven hundred ninety-eight thousand, eight hundred eighty".