4500404414000 has 160 divisors (see below), whose sum is σ = 11879536660992. Its totient is φ = 1635368160000.

The previous prime is 4500404413963. The next prime is 4500404414017. The reversal of 4500404414000 is 4144040054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31763315 + ... + 31904685.

Almost surely, 2^{4500404414000} is an apocalyptic number.

4500404414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4500404414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939768330496).

4500404414000 is an abundant number, since it is smaller than the sum of its proper divisors (7379132246992).

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

4500404414000 is a wasteful number, since it uses less digits than its factorization.

4500404414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142852 (or 142836 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 4500404414000 its reverse (4144040054), we get a palindrome (4504548454054).

The spelling of 4500404414000 in words is "four trillion, five hundred billion, four hundred four million, four hundred fourteen thousand".