4405042024000 has 112 divisors (see below), whose sum is σ = 10910120897520. Its totient is φ = 1761849753600.

The previous prime is 4405042023997. The next prime is 4405042024051. The reversal of 4405042024000 is 4202405044.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1285212203584 + 3119829820416 = 1133672^2 + 1766304^2 .

It is a super-3 number, since 3×4405042024000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117333232 + ... + 117370768.

Almost surely, 2^{4405042024000} is an apocalyptic number.

4405042024000 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 4405042024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455060448760).

4405042024000 is an abundant number, since it is smaller than the sum of its proper divisors (6505078873520).

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

4405042024000 is a wasteful number, since it uses less digits than its factorization.

4405042024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52233 (or 52213 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 4405042024000 its reverse (4202405044), we get a palindrome (4409244429044).

The spelling of 4405042024000 in words is "four trillion, four hundred five billion, forty-two million, twenty-four thousand".