4008840440448 has 32 divisors (see below), whose sum is σ = 10648482420960. Its totient is φ = 1336280146688.

The previous prime is 4008840440443. The next prime is 4008840440461. The reversal of 4008840440448 is 8440440488004.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×4008840440448³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4008840440397 and 4008840440406.

It is not an unprimeable number, because it can be changed into a prime (4008840440443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5219843940 + ... + 5219844707.

It is an arithmetic number, because the mean of its divisors is an integer number (332765075655).

Almost surely, 2^{4008840440448} is an apocalyptic number.

4008840440448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4008840440448 is an abundant number, since it is smaller than the sum of its proper divisors (6639641980512).

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

4008840440448 is a wasteful number, since it uses less digits than its factorization.

4008840440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10439688664 (or 10439688652 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 4008840440448 in words is "four trillion, eight billion, eight hundred forty million, four hundred forty thousand, four hundred forty-eight".