42444040304100 has 288 divisors, whose sum is σ = 129093587481600. Its totient is φ = 10746188879360.

The previous prime is 42444040304069. The next prime is 42444040304101. The reversal of 42444040304100 is 140304044424.

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

It is not an unprimeable number, because it can be changed into a prime (42444040304101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1565782747 + ... + 1565809853.

It is an arithmetic number, because the mean of its divisors is an integer number (448241623200).

Almost surely, 2^{42444040304100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444040304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64546793740800).

42444040304100 is an abundant number, since it is smaller than the sum of its proper divisors (86649547177500).

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

42444040304100 is a wasteful number, since it uses less digits than its factorization.

42444040304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28819 (or 28812 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42444040304100 its reverse (140304044424), we get a palindrome (42584344348524).

The spelling of 42444040304100 in words is "forty-two trillion, four hundred forty-four billion, forty million, three hundred four thousand, one hundred".