4045383129600 has 480 divisors, whose sum is σ = 15031941703680. Its totient is φ = 1078761369600.

The previous prime is 4045383129589. The next prime is 4045383129637. The reversal of 4045383129600 is 69213835404.

4045383129600 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 3 + 8 + 31 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27921345 + ... + 28065855.

It is an arithmetic number, because the mean of its divisors is an integer number (31316545216).

Almost surely, 2^{4045383129600} is an apocalyptic number.

4045383129600 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 4045383129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515970851840).

4045383129600 is an abundant number, since it is smaller than the sum of its proper divisors (10986558574080).

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

4045383129600 is an frugal number, since it uses more digits than its factorization.

4045383129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144560 (or 144521 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4045383129600 in words is "four trillion, forty-five billion, three hundred eighty-three million, one hundred twenty-nine thousand, six hundred".