42241111054400 has 168 divisors, whose sum is σ = 105654013101000. Its totient is φ = 16617793536000.

The previous prime is 42241111054399. The next prime is 42241111054427. The reversal of 42241111054400 is 445011114224.

It can be written as a sum of positive squares in 12 ways, for example, as 24259643966464 + 17981467087936 = 4925408^2 + 4240456^2 .

It is a super-2 number, since 2×42241111054400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1537088660 + ... + 1537116140.

It is an arithmetic number, because the mean of its divisors is an integer number (628892935125).

Almost surely, 2^{42241111054400} is an apocalyptic number.

42241111054400 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 42241111054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52827006550500).

42241111054400 is an abundant number, since it is smaller than the sum of its proper divisors (63412902046600).

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

42241111054400 is a wasteful number, since it uses less digits than its factorization.

42241111054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43313 (or 43298 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 42241111054400 its reverse (445011114224), we get a palindrome (42686122168624).

The spelling of 42241111054400 in words is "forty-two trillion, two hundred forty-one billion, one hundred eleven million, fifty-four thousand, four hundred".