42057405550944 has 1056 divisors, whose sum is σ = 153485756686080. Its totient is φ = 11073835938816.

The previous prime is 42057405550889. The next prime is 42057405550949. The reversal of 42057405550944 is 44905550475024.

42057405550944 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 7 + 40 + 5 + 550 + 9 + 44 = 666.

It is a super-2 number, since 2×42057405550944² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42057405550949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 9298561867 + ... + 9298566389.

Almost surely, 2^{42057405550944} 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 42057405550944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76742878343040).

42057405550944 is an abundant number, since it is smaller than the sum of its proper divisors (111428351135136).

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

42057405550944 is an equidigital number, since it uses as much as digits as its factorization.

42057405550944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 42057405550944 in words is "forty-two trillion, fifty-seven billion, four hundred five million, five hundred fifty thousand, nine hundred forty-four".