42602173145280 has 1344 divisors, whose sum is σ = 176619066624000. Its totient is φ = 9573064704000.

The previous prime is 42602173145261. The next prime is 42602173145327. The reversal of 42602173145280 is 8254137120624.

42602173145280 is a `hidden beast` number, since 4 + 2 + 60 + 2 + 173 + 145 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15497333346 + ... + 15497336094.

It is an arithmetic number, because the mean of its divisors is an integer number (131412996000).

Almost surely, 2^{42602173145280} is an apocalyptic number.

42602173145280 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 42602173145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88309533312000).

42602173145280 is an abundant number, since it is smaller than the sum of its proper divisors (134016893478720).

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

42602173145280 is a wasteful number, since it uses less digits than its factorization.

42602173145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42602173145280 in words is "forty-two trillion, six hundred two billion, one hundred seventy-three million, one hundred forty-five thousand, two hundred eighty".