4004840400000 has 768 divisors, whose sum is σ = 14974681559040. Its totient is φ = 939456000000.

The previous prime is 4004840399951. The next prime is 4004840400013. The reversal of 4004840400000 is 40484004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 409195107 + ... + 409204893.

It is an arithmetic number, because the mean of its divisors is an integer number (19498283280).

Almost surely, 2^{4004840400000} is an apocalyptic number.

4004840400000 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 4004840400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487340779520).

4004840400000 is an abundant number, since it is smaller than the sum of its proper divisors (10969841159040).

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

4004840400000 is an equidigital number, since it uses as much as digits as its factorization.

4004840400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9871 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4004840400000 its reverse (40484004), we get a palindrome (4004880884004).

The spelling of 4004840400000 in words is "four trillion, four billion, eight hundred forty million, four hundred thousand".