4113798798240 has 576 divisors, whose sum is σ = 14814988231680. Its totient is φ = 1038096138240.

The previous prime is 4113798798229. The next prime is 4113798798257. The reversal of 4113798798240 is 428978973114.

4113798798240 is a `hidden beast` number, since 4 + 11 + 379 + 8 + 7 + 9 + 8 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508311634 + ... + 508319726.

It is an arithmetic number, because the mean of its divisors is an integer number (25720465680).

Almost surely, 2^{4113798798240} is an apocalyptic number.

4113798798240 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 4113798798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407494115840).

4113798798240 is an abundant number, since it is smaller than the sum of its proper divisors (10701189433440).

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

4113798798240 is a wasteful number, since it uses less digits than its factorization.

4113798798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 4113798798240 in words is "four trillion, one hundred thirteen billion, seven hundred ninety-eight million, seven hundred ninety-eight thousand, two hundred forty".