4004040400000 has 96 divisors (see below), whose sum is σ = 9970361895060. Its totient is φ = 1601616000000.

The previous prime is 4004040399979. The next prime is 4004040400013. The reversal of 4004040400000 is 40404004.

It can be written as a sum of positive squares in 6 ways, for example, as 1060455086656 + 2943585313344 = 1029784^2 + 1715688^2 .

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4605051 + ... + 5405050.

Almost surely, 2^{4004040400000} is an apocalyptic number.

4004040400000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004040400000 is an abundant number, since it is smaller than the sum of its proper divisors (5966321495060).

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

4004040400000 is an frugal number, since it uses more digits than its factorization.

4004040400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010140 (or 10010108 counting only the distinct ones).

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

Adding to 4004040400000 its reverse (40404004), we get a palindrome (4004080804004).

The spelling of 4004040400000 in words is "four trillion, four billion, forty million, four hundred thousand".