4213972486080 has 896 divisors, whose sum is σ = 17237026191360. Its totient is φ = 961089712128.

The previous prime is 4213972486037. The next prime is 4213972486103. The reversal of 4213972486080 is 806842793124.

4213972486080 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 9 + 7 + 24 + 8 + 608 + 0 = 666.

It is a super-2 number, since 2×4213972486080² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3855418014 + ... + 3855419106.

Almost surely, 2^{4213972486080} is an apocalyptic number.

4213972486080 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 4213972486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618513095680).

4213972486080 is an abundant number, since it is smaller than the sum of its proper divisors (13023053705280).

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

4213972486080 is an equidigital number, since it uses as much as digits as its factorization.

4213972486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4213972486080 in words is "four trillion, two hundred thirteen billion, nine hundred seventy-two million, four hundred eighty-six thousand, eighty".