42106151520 has 144 divisors (see below), whose sum is σ = 149934631392. Its totient is φ = 10740111360.

The previous prime is 42106151471. The next prime is 42106151533. The reversal of 42106151520 is 2515160124.

42106151520 is a `hidden beast` number, since 4 + 2 + 10 + 615 + 15 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602541 + ... + 668780.

It is an arithmetic number, because the mean of its divisors is an integer number (1041212718).

Almost surely, 2^42106151520 is an apocalyptic number.

42106151520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42106151520 is an abundant number, since it is smaller than the sum of its proper divisors (107828479872).

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

42106151520 is a wasteful number, since it uses less digits than its factorization.

42106151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271365 (or 1271354 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 42106151520 in words is "forty-two billion, one hundred six million, one hundred fifty-one thousand, five hundred twenty".