4214408096880 has 240 divisors, whose sum is σ = 15027698612160. Its totient is φ = 1054786363392.

The previous prime is 4214408096879. The next prime is 4214408096887. The reversal of 4214408096880 is 886908044124.

It is a happy number.

4214408096880 is a `hidden beast` number, since 42 + 1 + 440 + 80 + 9 + 6 + 8 + 80 = 666.

4214408096880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4214408096880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214408096887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3914614 + ... + 4873706.

It is an arithmetic number, because the mean of its divisors is an integer number (62615410884).

Almost surely, 2^{4214408096880} is an apocalyptic number.

4214408096880 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 4214408096880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513849306080).

4214408096880 is an abundant number, since it is smaller than the sum of its proper divisors (10813290515280).

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

4214408096880 is a wasteful number, since it uses less digits than its factorization.

4214408096880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959488 (or 959479 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 4214408096880 in words is "four trillion, two hundred fourteen billion, four hundred eight million, ninety-six thousand, eight hundred eighty".