4114305276480 has 1344 divisors, whose sum is σ = 17477379279360. Its totient is φ = 867012968448.

The previous prime is 4114305276443. The next prime is 4114305276493. The reversal of 4114305276480 is 846725034114.

4114305276480 is a `hidden beast` number, since 4 + 1 + 1 + 43 + 0 + 527 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5350201536 + ... + 5350202304.

It is an arithmetic number, because the mean of its divisors is an integer number (13004002440).

Almost surely, 2^{4114305276480} is an apocalyptic number.

4114305276480 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 4114305276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738689639680).

4114305276480 is an abundant number, since it is smaller than the sum of its proper divisors (13363074002880).

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

4114305276480 is a wasteful number, since it uses less digits than its factorization.

4114305276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4114305276480 in words is "four trillion, one hundred fourteen billion, three hundred five million, two hundred seventy-six thousand, four hundred eighty".