42149867760 has 960 divisors, whose sum is σ = 191633734656. Its totient is φ = 8017920000.

The previous prime is 42149867731. The next prime is 42149867761. The reversal of 42149867760 is 6776894124.

42149867760 is a `hidden beast` number, since 4 + 21 + 498 + 6 + 77 + 60 = 666.

It is a super-2 number, since 2×42149867760² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42149867697 and 42149867706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42149867761) 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 191 ways as a sum of consecutive naturals, for example, 167927635 + ... + 167927885.

Almost surely, 2^42149867760 is an apocalyptic number.

42149867760 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 42149867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95816867328).

42149867760 is an abundant number, since it is smaller than the sum of its proper divisors (149483866896).

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

42149867760 is a wasteful number, since it uses less digits than its factorization.

42149867760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

It can be divided in two parts, 42149 and 867760, that added together give a palindrome (909909).

The spelling of 42149867760 in words is "forty-two billion, one hundred forty-nine million, eight hundred sixty-seven thousand, seven hundred sixty".