4004036400000 has 1536 divisors, whose sum is σ = 16820763402240. Its totient is φ = 821145600000.

The previous prime is 4004036399969. The next prime is 4004036400047. The reversal of 4004036400000 is 46304004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4004036400000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4040399505 + ... + 4040400495.

It is an arithmetic number, because the mean of its divisors is an integer number (10951017840).

Almost surely, 2^{4004036400000} is an apocalyptic number.

4004036400000 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 4004036400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410381701120).

4004036400000 is an abundant number, since it is smaller than the sum of its proper divisors (12816727002240).

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

4004036400000 is an equidigital number, since it uses as much as digits as its factorization.

4004036400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The spelling of 4004036400000 in words is "four trillion, four billion, thirty-six million, four hundred thousand".