42354112270680 has 512 divisors, whose sum is σ = 170779504896000. Its totient is φ = 9120740382720.

The previous prime is 42354112270649. The next prime is 42354112270693. The reversal of 42354112270680 is 8607221145324.

42354112270680 is a `hidden beast` number, since 4 + 2 + 3 + 5 + 411 + 227 + 0 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×42354112270680² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 25184302 + ... + 26813378.

It is an arithmetic number, because the mean of its divisors is an integer number (333553720500).

Almost surely, 2^{42354112270680} is an apocalyptic number.

42354112270680 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 42354112270680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85389752448000).

42354112270680 is an abundant number, since it is smaller than the sum of its proper divisors (128425392625320).

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

42354112270680 is a wasteful number, since it uses less digits than its factorization.

42354112270680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629304 (or 1629294 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42354112270680 in words is "forty-two trillion, three hundred fifty-four billion, one hundred twelve million, two hundred seventy thousand, six hundred eighty".