4004470068480 has 720 divisors, whose sum is σ = 16606544258304. Its totient is φ = 902404177920.

The previous prime is 4004470068479. The next prime is 4004470068491. The reversal of 4004470068480 is 848600744004.

4004470068480 is a `hidden beast` number, since 4 + 0 + 0 + 44 + 70 + 0 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51490104 + ... + 51567816.

Almost surely, 2^{4004470068480} is an apocalyptic number.

4004470068480 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 4004470068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303272129152).

4004470068480 is an abundant number, since it is smaller than the sum of its proper divisors (12602074189824).

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

4004470068480 is an equidigital number, since it uses as much as digits as its factorization.

4004470068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77824 (or 77801 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 4004470068480 in words is "four trillion, four billion, four hundred seventy million, sixty-eight thousand, four hundred eighty".