4004562084480 has 768 divisors, whose sum is σ = 15012781056000. Its totient is φ = 1018792857600.

The previous prime is 4004562084473. The next prime is 4004562084533. The reversal of 4004562084480 is 844802654004.

4004562084480 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 562 + 0 + 8 + 4 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342293671 + ... + 342305369.

It is an arithmetic number, because the mean of its divisors is an integer number (19547892000).

Almost surely, 2^{4004562084480} is an apocalyptic number.

4004562084480 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 4004562084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506390528000).

4004562084480 is an abundant number, since it is smaller than the sum of its proper divisors (11008218971520).

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

4004562084480 is a wasteful number, since it uses less digits than its factorization.

4004562084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11835 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 4004562084480 in words is "four trillion, four billion, five hundred sixty-two million, eighty-four thousand, four hundred eighty".