42976348800 has 768 divisors, whose sum is σ = 180382740480. Its totient is φ = 8733081600.

The previous prime is 42976348799. The next prime is 42976348841. The reversal of 42976348800 is 884367924.

It is a super-2 number, since 2×42976348800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34741782 + ... + 34743018.

It is an arithmetic number, because the mean of its divisors is an integer number (234873360).

Almost surely, 2^42976348800 is an apocalyptic number.

42976348800 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 42976348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90191370240).

42976348800 is an abundant number, since it is smaller than the sum of its proper divisors (137406391680).

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

42976348800 is a wasteful number, since it uses less digits than its factorization.

42976348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 42976348800 in words is "forty-two billion, nine hundred seventy-six million, three hundred forty-eight thousand, eight hundred".