42387072876 has 480 divisors, whose sum is σ = 128037127680. Its totient is φ = 12153563136.

The previous prime is 42387072857. The next prime is 42387072877. The reversal of 42387072876 is 67827078324.

42387072876 is a `hidden beast` number, since 423 + 8 + 70 + 72 + 87 + 6 = 666.

It is a super-2 number, since 2×42387072876² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42387072877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 396140815 + ... + 396140921.

It is an arithmetic number, because the mean of its divisors is an integer number (266744016).

Almost surely, 2^42387072876 is an apocalyptic number.

42387072876 is a gapful number since it is divisible by the number (46) 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 42387072876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64018563840).

42387072876 is an abundant number, since it is smaller than the sum of its proper divisors (85650054804).

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

42387072876 is a wasteful number, since it uses less digits than its factorization.

42387072876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 42387072876 in words is "forty-two billion, three hundred eighty-seven million, seventy-two thousand, eight hundred seventy-six".