42014120321040 has 240 divisors, whose sum is σ = 151513195570560. Its totient is φ = 9602902149120.

The previous prime is 42014120320979. The next prime is 42014120321051. The reversal of 42014120321040 is 4012302141024.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42014120321040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600089556 + ... + 600159564.

It is an arithmetic number, because the mean of its divisors is an integer number (631304981544).

Almost surely, 2^{42014120321040} is an apocalyptic number.

42014120321040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42014120321040 is an abundant number, since it is smaller than the sum of its proper divisors (109499075249520).

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

42014120321040 is a wasteful number, since it uses less digits than its factorization.

42014120321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121070 (or 121057 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42014120321040 its reverse (4012302141024), we get a palindrome (46026422462064).

The spelling of 42014120321040 in words is "forty-two trillion, fourteen billion, one hundred twenty million, three hundred twenty-one thousand, forty".