442033541400000 has 1344 divisors, whose sum is σ = 1643877400112640. Its totient is φ = 103894425600000.

The previous prime is 442033541399987. The next prime is 442033541400023. The reversal of 442033541400000 is 4145330244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38880594316 + ... + 38880605684.

It is an arithmetic number, because the mean of its divisors is an integer number (1223123065560).

Almost surely, 2^{442033541400000} is an apocalyptic number.

442033541400000 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 442033541400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821938700056320).

442033541400000 is an abundant number, since it is smaller than the sum of its proper divisors (1201843858712640).

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

442033541400000 is a wasteful number, since it uses less digits than its factorization.

442033541400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600 (or 11570 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 442033541400000 its reverse (4145330244), we get a palindrome (442037686730244).

The spelling of 442033541400000 in words is "four hundred forty-two trillion, thirty-three billion, five hundred forty-one million, four hundred thousand".