39005442000 has 640 divisors, whose sum is σ = 168122572800. Its totient is φ = 8444736000.

The previous prime is 39005441927. The next prime is 39005442001. The reversal of 39005442000 is 24450093.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39005442001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7179285 + ... + 7184715.

It is an arithmetic number, because the mean of its divisors is an integer number (262691520).

Almost surely, 2^39005442000 is an apocalyptic number.

39005442000 is a gapful number since it is divisible by the number (30) 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 39005442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84061286400).

39005442000 is an abundant number, since it is smaller than the sum of its proper divisors (129117130800).

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

39005442000 is a wasteful number, since it uses less digits than its factorization.

39005442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 39005442000 its reverse (24450093), we get a palindrome (39029892093).

The spelling of 39005442000 in words is "thirty-nine billion, five million, four hundred forty-two thousand".