4114844690880 has 896 divisors, whose sum is σ = 16670172708864. Its totient is φ = 835069132800.

The previous prime is 4114844690863. The next prime is 4114844690939. The reversal of 4114844690880 is 880964484114.

It is a self number, because there is not a number n which added to its sum of digits gives 4114844690880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2192244502 + ... + 2192246378.

Almost surely, 2^{4114844690880} is an apocalyptic number.

4114844690880 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 4114844690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335086354432).

4114844690880 is an abundant number, since it is smaller than the sum of its proper divisors (12555328017984).

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

4114844690880 is a wasteful number, since it uses less digits than its factorization.

4114844690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 4114844690880 in words is "four trillion, one hundred fourteen billion, eight hundred forty-four million, six hundred ninety thousand, eight hundred eighty".