4235011000440 has 128 divisors (see below), whose sum is σ = 13862450315520. Its totient is φ = 1026490496000.

The previous prime is 4235011000373. The next prime is 4235011000481. The reversal of 4235011000440 is 440001105324.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4235011000440.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7380787 + ... + 7933853.

It is an arithmetic number, because the mean of its divisors is an integer number (108300393090).

Almost surely, 2^{4235011000440} is an apocalyptic number.

4235011000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4235011000440 is an abundant number, since it is smaller than the sum of its proper divisors (9627439315080).

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

4235011000440 is a wasteful number, since it uses less digits than its factorization.

4235011000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558893 (or 558889 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 4235011000440 its reverse (440001105324), we get a palindrome (4675012105764).

The spelling of 4235011000440 in words is "four trillion, two hundred thirty-five billion, eleven million, four hundred forty", and thus it is an aban number.