4212435386880 has 1920 divisors, whose sum is σ = 18330515343360. Its totient is φ = 912994467840.

The previous prime is 4212435386833. The next prime is 4212435386899. The reversal of 4212435386880 is 886835342124.

4212435386880 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 43 + 538 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4212435386880² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5564643462 + ... + 5564644218.

It is an arithmetic number, because the mean of its divisors is an integer number (9547143408).

Almost surely, 2^{4212435386880} is an apocalyptic number.

4212435386880 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 4212435386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165257671680).

4212435386880 is an abundant number, since it is smaller than the sum of its proper divisors (14118079956480).

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

4212435386880 is a wasteful number, since it uses less digits than its factorization.

4212435386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4212435386880 in words is "four trillion, two hundred twelve billion, four hundred thirty-five million, three hundred eighty-six thousand, eight hundred eighty".