4004576000000 has 336 divisors, whose sum is σ = 10445955352560. Its totient is φ = 1531904000000.

The previous prime is 4004575999999. The next prime is 4004576000083. The reversal of 4004576000000 is 6754004.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 735997280 + ... + 736002720.

It is an arithmetic number, because the mean of its divisors is an integer number (31089152835).

Almost surely, 2^{4004576000000} is an apocalyptic number.

4004576000000 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 4004576000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222977676280).

4004576000000 is an abundant number, since it is smaller than the sum of its proper divisors (6441379352560).

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

4004576000000 is an frugal number, since it uses more digits than its factorization.

4004576000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The spelling of 4004576000000 in words is "four trillion, four billion, five hundred seventy-six million", and thus it is an aban number.