4004600000000 has 180 divisors, whose sum is σ = 10002217535112. Its totient is φ = 1601760000000.

The previous prime is 4004599999987. The next prime is 4004600000041. The reversal of 4004600000000 is 64004.

It is a happy number.

It is a hoax number, since the sum of its digits (14) 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 17 ways as a sum of consecutive naturals, for example, 199989989 + ... + 200010011.

Almost surely, 2^{4004600000000} is an apocalyptic number.

4004600000000 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 4004600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001108767556).

4004600000000 is an abundant number, since it is smaller than the sum of its proper divisors (5997617535112).

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

4004600000000 is an frugal number, since it uses more digits than its factorization.

4004600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20081 (or 20030 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 4004600000000 its reverse (64004), we get a palindrome (4004600064004).

The spelling of 4004600000000 in words is "four trillion, four billion, six hundred million", and thus it is an aban number.