4000334045500 has 192 divisors, whose sum is σ = 9482382000000. Its totient is φ = 1465515417600.

The previous prime is 4000334045479. The next prime is 4000334045509. The reversal of 4000334045500 is 55404330004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000334045509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209654847 + ... + 1209658153.

It is an arithmetic number, because the mean of its divisors is an integer number (49387406250).

Almost surely, 2^{4000334045500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000334045500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741191000000).

4000334045500 is an abundant number, since it is smaller than the sum of its proper divisors (5482047954500).

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

4000334045500 is a wasteful number, since it uses less digits than its factorization.

4000334045500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 4000334045500 its reverse (55404330004), we get a palindrome (4055738375504).

The spelling of 4000334045500 in words is "four trillion, three hundred thirty-four million, forty-five thousand, five hundred".