42346441212560 has 80 divisors (see below), whose sum is σ = 99310992462000. Its totient is φ = 16791837554688.

The previous prime is 42346441212557. The next prime is 42346441212631. The reversal of 42346441212560 is 6521214464324.

It can be written as a sum of positive squares in 8 ways, for example, as 361691582464 + 41984749630096 = 601408^2 + 6479564^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2577542 + ... + 9557018.

It is an arithmetic number, because the mean of its divisors is an integer number (1241387405775).

Almost surely, 2^{42346441212560} is an apocalyptic number.

42346441212560 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 42346441212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49655496231000).

42346441212560 is an abundant number, since it is smaller than the sum of its proper divisors (56964551249440).

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

42346441212560 is a wasteful number, since it uses less digits than its factorization.

42346441212560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980148 (or 6980142 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

Adding to 42346441212560 its reverse (6521214464324), we get a palindrome (48867655676884).

The spelling of 42346441212560 in words is "forty-two trillion, three hundred forty-six billion, four hundred forty-one million, two hundred twelve thousand, five hundred sixty".