4389468436080 has 1280 divisors, whose sum is σ = 18814795776000. Its totient is φ = 915927699456.

The previous prime is 4389468436069. The next prime is 4389468436081. The reversal of 4389468436080 is 806348649834.

4389468436080 is a `hidden beast` number, since 4 + 3 + 89 + 46 + 8 + 436 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4389468435999 and 4389468436017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4389468436081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10476058111 + ... + 10476058529.

It is an arithmetic number, because the mean of its divisors is an integer number (14699059200).

Almost surely, 2^{4389468436080} is an apocalyptic number.

4389468436080 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 4389468436080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407397888000).

4389468436080 is an abundant number, since it is smaller than the sum of its proper divisors (14425327339920).

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

4389468436080 is a wasteful number, since it uses less digits than its factorization.

4389468436080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 4389468436080 in words is "four trillion, three hundred eighty-nine billion, four hundred sixty-eight million, four hundred thirty-six thousand, eighty".