42106921657920 has 448 divisors, whose sum is σ = 171412637859840. Its totient is φ = 9530996668416.

The previous prime is 42106921657903. The next prime is 42106921657981. The reversal of 42106921657920 is 2975612960124.

It is a happy number.

42106921657920 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 69 + 2 + 1 + 6 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×42106921657920³ (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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2849769 + ... + 9609111.

Almost surely, 2^{42106921657920} is an apocalyptic number.

42106921657920 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 42106921657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85706318929920).

42106921657920 is an abundant number, since it is smaller than the sum of its proper divisors (129305716201920).

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

42106921657920 is a wasteful number, since it uses less digits than its factorization.

42106921657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759479 (or 6759463 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 42106921657920 in words is "forty-two trillion, one hundred six billion, nine hundred twenty-one million, six hundred fifty-seven thousand, nine hundred twenty".