4115883034368 has 288 divisors, whose sum is σ = 14010256243200. Its totient is φ = 1167504482304.

The previous prime is 4115883034363. The next prime is 4115883034411. The reversal of 4115883034368 is 8634303885114.

4115883034368 is a `hidden beast` number, since 4 + 11 + 588 + 3 + 0 + 3 + 43 + 6 + 8 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115883034363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6419380 + ... + 7031372.

Almost surely, 2^{4115883034368} is an apocalyptic number.

4115883034368 is a gapful number since it is divisible by the number (48) 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 4115883034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005128121600).

4115883034368 is an abundant number, since it is smaller than the sum of its proper divisors (9894373208832).

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

4115883034368 is a wasteful number, since it uses less digits than its factorization.

4115883034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612164 (or 612144 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4115883034368 in words is "four trillion, one hundred fifteen billion, eight hundred eighty-three million, thirty-four thousand, three hundred sixty-eight".