42520305315642 has 64 divisors (see below), whose sum is σ = 106557444864000. Its totient is φ = 10988736454080.

The previous prime is 42520305315479. The next prime is 42520305315643. The reversal of 42520305315642 is 24651350302524.

It is a super-3 number, since 3×42520305315642³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42520305315594 and 42520305315603.

It is not an unprimeable number, because it can be changed into a prime (42520305315643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231152517 + ... + 231336392.

It is an arithmetic number, because the mean of its divisors is an integer number (1664960076000).

Almost surely, 2^{42520305315642} is an apocalyptic number.

42520305315642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42520305315642 is an abundant number, since it is smaller than the sum of its proper divisors (64037139548358).

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

42520305315642 is a wasteful number, since it uses less digits than its factorization.

42520305315642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462489131.

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 42520305315642 in words is "forty-two trillion, five hundred twenty billion, three hundred five million, three hundred fifteen thousand, six hundred forty-two".