42445313310400 has 1344 divisors, whose sum is σ = 147094685337600. Its totient is φ = 11619798220800.

The previous prime is 42445313310353. The next prime is 42445313310457. The reversal of 42445313310400 is 401331354424.

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, 7256846676 + ... + 7256852524.

It is an arithmetic number, because the mean of its divisors is an integer number (109445450400).

Almost surely, 2^{42445313310400} is an apocalyptic number.

42445313310400 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 42445313310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73547342668800).

42445313310400 is an abundant number, since it is smaller than the sum of its proper divisors (104649372027200).

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

42445313310400 is a wasteful number, since it uses less digits than its factorization.

42445313310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 42445313310400 its reverse (401331354424), we get a palindrome (42846644664824).

The spelling of 42445313310400 in words is "forty-two trillion, four hundred forty-five billion, three hundred thirteen million, three hundred ten thousand, four hundred".