4004040040000 has 840 divisors, whose sum is σ = 13433335006784. Its totient is φ = 1151884800000.

The previous prime is 4004040039991. The next prime is 4004040040051. The reversal of 4004040040000 is 400404004.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 119 ways as a sum of consecutive naturals, for example, 440435455 + ... + 440444545.

Almost surely, 2^{4004040040000} is an apocalyptic number.

4004040040000 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 4004040040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716667503392).

4004040040000 is an abundant number, since it is smaller than the sum of its proper divisors (9429294966784).

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

4004040040000 is a wasteful number, since it uses less digits than its factorization.

4004040040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4004040040000 its reverse (400404004), we get a palindrome (4004440444004).

4004040040000 divided by its reverse (400404004) gives a 4-th power (10000 = 10⁴).

The spelling of 4004040040000 in words is "four trillion, four billion, forty million, forty thousand", and thus it is an eban number.