42111633721248 has 2880 divisors, whose sum is σ = 168144995031552. Its totient is φ = 10252167045120.

The previous prime is 42111633721207. The next prime is 42111633721253. The reversal of 42111633721248 is 84212733611124.

42111633721248 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 1 + 633 + 7 + 2 + 1 + 2 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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 479 ways as a sum of consecutive naturals, for example, 690354651138 + ... + 690354651198.

Almost surely, 2^{42111633721248} is an apocalyptic number.

42111633721248 is a gapful number since it is divisible by the number (48) 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 42111633721248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84072497515776).

42111633721248 is an abundant number, since it is smaller than the sum of its proper divisors (126033361310304).

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

42111633721248 is an equidigital number, since it uses as much as digits as its factorization.

42111633721248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 162 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 42111633721248 in words is "forty-two trillion, one hundred eleven billion, six hundred thirty-three million, seven hundred twenty-one thousand, two hundred forty-eight".