4005202441440 has 96 divisors (see below), whose sum is σ = 12616675706880. Its totient is φ = 1068029602304.

The previous prime is 4005202441391. The next prime is 4005202441451. The reversal of 4005202441440 is 441442025004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4005202441398 and 4005202441407.

It is a congruent number.

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, 32712817 + ... + 32835023.

It is an arithmetic number, because the mean of its divisors is an integer number (131423705280).

Almost surely, 2^{4005202441440} is an apocalyptic number.

4005202441440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005202441440 is an abundant number, since it is smaller than the sum of its proper divisors (8611473265440).

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

4005202441440 is a wasteful number, since it uses less digits than its factorization.

4005202441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190504 (or 190496 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 4005202441440 its reverse (441442025004), we get a palindrome (4446644466444).

The spelling of 4005202441440 in words is "four trillion, five billion, two hundred two million, four hundred forty-one thousand, four hundred forty".