42113442533040 has 180 divisors, whose sum is σ = 141625490138496. Its totient is φ = 11214827380224.

The previous prime is 42113442533039. The next prime is 42113442533047. The reversal of 42113442533040 is 4033524431124.

42113442533040 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 344 + 2 + 5 + 3 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42113442532986 and 42113442533004.

It is not an unprimeable number, because it can be changed into a prime (42113442533047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 386793649 + ... + 386902511.

Almost surely, 2^{42113442533040} is an apocalyptic number.

42113442533040 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 42113442533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70812745069248).

42113442533040 is an abundant number, since it is smaller than the sum of its proper divisors (99512047605456).

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

42113442533040 is a wasteful number, since it uses less digits than its factorization.

42113442533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110348 (or 109606 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 42113442533040 its reverse (4033524431124), we get a palindrome (46146966964164).

The spelling of 42113442533040 in words is "forty-two trillion, one hundred thirteen billion, four hundred forty-two million, five hundred thirty-three thousand, forty".