4402465966080 has 3840 divisors, whose sum is σ = 21288938711040. Its totient is φ = 843910742016.

The previous prime is 4402465966079. The next prime is 4402465966133. The reversal of 4402465966080 is 806695642044.

4402465966080 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 46 + 596 + 6 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 319 ways as a sum of consecutive naturals, for example, 60307752924 + ... + 60307752996.

It is an arithmetic number, because the mean of its divisors is an integer number (5543994456).

Almost surely, 2^{4402465966080} is an apocalyptic number.

4402465966080 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 4402465966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644469355520).

4402465966080 is an abundant number, since it is smaller than the sum of its proper divisors (16886472744960).

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

4402465966080 is a wasteful number, since it uses less digits than its factorization.

4402465966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4402465966080 in words is "four trillion, four hundred two billion, four hundred sixty-five million, nine hundred sixty-six thousand, eighty".