42061202350048 has 192 divisors, whose sum is σ = 99440652810240. Its totient is φ = 17138469224448.

The previous prime is 42061202350043. The next prime is 42061202350093. The reversal of 42061202350048 is 84005320216024.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 42061202349989 and 42061202350016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42061202350043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63179811 + ... + 63842077.

It is an arithmetic number, because the mean of its divisors is an integer number (517920066720).

Almost surely, 2^{42061202350048} 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 42061202350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49720326405120).

42061202350048 is an abundant number, since it is smaller than the sum of its proper divisors (57379450460192).

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

42061202350048 is a wasteful number, since it uses less digits than its factorization.

42061202350048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662497 (or 662489 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 42061202350048 in words is "forty-two trillion, sixty-one billion, two hundred two million, three hundred fifty thousand, forty-eight".