42460345616160 has 96 divisors (see below), whose sum is σ = 137012286039552. Its totient is φ = 11046593976320.

The previous prime is 42460345616147. The next prime is 42460345616167. The reversal of 42460345616160 is 6161654306424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42460345616167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1078749264 + ... + 1078788623.

It is an arithmetic number, because the mean of its divisors is an integer number (1427211312912).

Almost surely, 2^{42460345616160} is an apocalyptic number.

42460345616160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42460345616160 is an abundant number, since it is smaller than the sum of its proper divisors (94551940423392).

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

42460345616160 is a wasteful number, since it uses less digits than its factorization.

42460345616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157537946 (or 2157537938 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 42460345616160 in words is "forty-two trillion, four hundred sixty billion, three hundred forty-five million, six hundred sixteen thousand, one hundred sixty".