42459115776 has 1152 divisors, whose sum is σ = 162756034560. Its totient is φ = 9488793600.

The previous prime is 42459115763. The next prime is 42459115781. The reversal of 42459115776 is 67751195424.

42459115776 = 41² + 42² + ... + 5031².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 801115366 + ... + 801115418.

It is an arithmetic number, because the mean of its divisors is an integer number (141281280).

Almost surely, 2^42459115776 is an apocalyptic number.

42459115776 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 42459115776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81378017280).

42459115776 is an abundant number, since it is smaller than the sum of its proper divisors (120296918784).

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

42459115776 is a wasteful number, since it uses less digits than its factorization.

42459115776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The spelling of 42459115776 in words is "forty-two billion, four hundred fifty-nine million, one hundred fifteen thousand, seven hundred seventy-six".