4045534200000 has 1344 divisors, whose sum is σ = 15909541724160. Its totient is φ = 1004451840000.

The previous prime is 4045534199981. The next prime is 4045534200067. The reversal of 4045534200000 is 24355404.

4045534200000 is a `hidden beast` number, since 4 + 0 + 455 + 3 + 4 + 200 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 11658599827 + ... + 11658600173.

It is an arithmetic number, because the mean of its divisors is an integer number (11837456640).

Almost surely, 2^{4045534200000} is an apocalyptic number.

4045534200000 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 4045534200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954770862080).

4045534200000 is an abundant number, since it is smaller than the sum of its proper divisors (11864007524160).

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

4045534200000 is a wasteful number, since it uses less digits than its factorization.

4045534200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 4045534200000 its reverse (24355404), we get a palindrome (4045558555404).

The spelling of 4045534200000 in words is "four trillion, forty-five billion, five hundred thirty-four million, two hundred thousand".