4405670862960 has 320 divisors, whose sum is σ = 14442481336320. Its totient is φ = 1107908305920.

The previous prime is 4405670862847. The next prime is 4405670863043. The reversal of 4405670862960 is 692680765044.

It is a Cunningham number, because it is equal to 2098969²-1.

It is a super-2 number, since 2×4405670862960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4405670862960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957128019 + ... + 957132621.

It is an arithmetic number, because the mean of its divisors is an integer number (45132754176).

Almost surely, 2^{4405670862960} is an apocalyptic number.

4405670862960 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 4405670862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221240668160).

4405670862960 is an abundant number, since it is smaller than the sum of its proper divisors (10036810473360).

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

4405670862960 is a wasteful number, since it uses less digits than its factorization.

4405670862960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 4405670862960 in words is "four trillion, four hundred five billion, six hundred seventy million, eight hundred sixty-two thousand, nine hundred sixty".