42130521906480 has 420 divisors, whose sum is σ = 170840657855232. Its totient is φ = 9629832925440.

The previous prime is 42130521906479. The next prime is 42130521906481. The reversal of 42130521906480 is 8460912503124.

42130521906480 is a `hidden beast` number, since 4 + 2 + 1 + 30 + 52 + 1 + 90 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (42130521906479) and next prime (42130521906481).

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-3 number, since 3×42130521906480³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (42130521906481) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4513776 + ... + 10229135.

Almost surely, 2^{42130521906480} is an apocalyptic number.

42130521906480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42130521906480 is an abundant number, since it is smaller than the sum of its proper divisors (128710135948752).

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

42130521906480 is a wasteful number, since it uses less digits than its factorization.

42130521906480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14742956 (or 14742928 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42130521906480 in words is "forty-two trillion, one hundred thirty billion, five hundred twenty-one million, nine hundred six thousand, four hundred eighty".