4428419935680 has 336 divisors, whose sum is σ = 16407559808640. Its totient is φ = 1089809842176.

The previous prime is 4428419935603. The next prime is 4428419935697. The reversal of 4428419935680 is 865399148244.

4428419935680 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 419 + 93 + 56 + 80 = 666.

It is a super-2 number, since 2×4428419935680² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188648424 + ... + 188671896.

It is an arithmetic number, because the mean of its divisors is an integer number (48832023240).

Almost surely, 2^{4428419935680} is an apocalyptic number.

4428419935680 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 4428419935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203779904320).

4428419935680 is an abundant number, since it is smaller than the sum of its proper divisors (11979139872960).

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

4428419935680 is a wasteful number, since it uses less digits than its factorization.

4428419935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28548 (or 28535 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 4428419935680 in words is "four trillion, four hundred twenty-eight billion, four hundred nineteen million, nine hundred thirty-five thousand, six hundred eighty".