42060145121280 has 4032 divisors, whose sum is σ = 188162527906080. Its totient is φ = 8886288384000.

The previous prime is 42060145121279. The next prime is 42060145121303. The reversal of 42060145121280 is 8212154106024.

42060145121280 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 0 + 14 + 512 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1025857198060 + ... + 1025857198100.

Almost surely, 2^{42060145121280} is an apocalyptic number.

42060145121280 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 42060145121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94081263953040).

42060145121280 is an abundant number, since it is smaller than the sum of its proper divisors (146102382784800).

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

42060145121280 is a wasteful number, since it uses less digits than its factorization.

42060145121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 42060145121280 in words is "forty-two trillion, sixty billion, one hundred forty-five million, one hundred twenty-one thousand, two hundred eighty".