4004004440040 has 64 divisors (see below), whose sum is σ = 13104014535360. Its totient is φ = 970667742720.

The previous prime is 4004004440021. The next prime is 4004004440069. The reversal of 4004004440040 is 400444004004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516667029 + ... + 1516669668.

It is an arithmetic number, because the mean of its divisors is an integer number (204750227115).

Almost surely, 2^{4004004440040} is an apocalyptic number.

4004004440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004004440040 is an abundant number, since it is smaller than the sum of its proper divisors (9100010095320).

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

4004004440040 is a wasteful number, since it uses less digits than its factorization.

4004004440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033336722 (or 3033336718 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4004004440040 its reverse (400444004004), we get a palindrome (4404448444044).

The spelling of 4004004440040 in words is "four trillion, four billion, four million, four hundred forty thousand, forty".