4211980560000 has 800 divisors, whose sum is σ = 15827309092980. Its totient is φ = 1111449600000.

The previous prime is 4211980559999. The next prime is 4211980560017. The reversal of 4211980560000 is 650891124.

4211980560000 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 98 + 0 + 560 + 0 + 0 + 0 = 666.

4211980560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 518296325184 + 3693684234816 = 719928^2 + 1921896^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 628556650 + ... + 628563350.

Almost surely, 2^{4211980560000} is an apocalyptic number.

4211980560000 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 4211980560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913654546490).

4211980560000 is an abundant number, since it is smaller than the sum of its proper divisors (11615328532980).

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

4211980560000 is an frugal number, since it uses more digits than its factorization.

4211980560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 4211980560000 in words is "four trillion, two hundred eleven billion, nine hundred eighty million, five hundred sixty thousand".