42480717376 has 224 divisors, whose sum is σ = 95618734848. Its totient is φ = 18620743680.

The previous prime is 42480717343. The next prime is 42480717407. The reversal of 42480717376 is 67371708424.

It is a happy number.

It is a super-2 number, since 2×42480717376² (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 3.

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 31 ways as a sum of consecutive naturals, for example, 234700006 + ... + 234700186.

It is an arithmetic number, because the mean of its divisors is an integer number (426869352).

Almost surely, 2^42480717376 is an apocalyptic number.

42480717376 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 42480717376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809367424).

42480717376 is an abundant number, since it is smaller than the sum of its proper divisors (53138017472).

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

42480717376 is a wasteful number, since it uses less digits than its factorization.

42480717376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 49.

The spelling of 42480717376 in words is "forty-two billion, four hundred eighty million, seven hundred seventeen thousand, three hundred seventy-six".