42148086287760 has 320 divisors, whose sum is σ = 145545018451200. Its totient is φ = 11211005325312.

The previous prime is 42148086287759. The next prime is 42148086287767. The reversal of 42148086287760 is 6778268084124.

42148086287760 is a `hidden beast` number, since 4 + 2 + 1 + 480 + 8 + 6 + 2 + 87 + 76 + 0 = 666.

It is a super-2 number, since 2×42148086287760² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42148086287767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1957724676 + ... + 1957746204.

It is an arithmetic number, because the mean of its divisors is an integer number (454828182660).

Almost surely, 2^{42148086287760} is an apocalyptic number.

42148086287760 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 42148086287760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772509225600).

42148086287760 is an abundant number, since it is smaller than the sum of its proper divisors (103396932163440).

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

42148086287760 is a wasteful number, since it uses less digits than its factorization.

42148086287760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23807 (or 23795 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 42148086287760 in words is "forty-two trillion, one hundred forty-eight billion, eighty-six million, two hundred eighty-seven thousand, seven hundred sixty".