42342440401040 has 80 divisors (see below), whose sum is σ = 109674782708400. Its totient is φ = 15095023835136.

The previous prime is 42342440401013. The next prime is 42342440401139. The reversal of 42342440401040 is 4010404424324.

It can be written as a sum of positive squares in 8 ways, for example, as 599676774544 + 41742763626496 = 774388^2 + 6460864^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42342440400988 and 42342440401006.

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, 701933375 + ... + 701993694.

It is an arithmetic number, because the mean of its divisors is an integer number (1370934783855).

Almost surely, 2^{42342440401040} is an apocalyptic number.

42342440401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42342440401040 is an abundant number, since it is smaller than the sum of its proper divisors (67332342307360).

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

42342440401040 is a wasteful number, since it uses less digits than its factorization.

42342440401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403927124 (or 1403927118 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 42342440401040 its reverse (4010404424324), we get a palindrome (46352844825364).

The spelling of 42342440401040 in words is "forty-two trillion, three hundred forty-two billion, four hundred forty million, four hundred one thousand, forty".