42074734617720 has 768 divisors, whose sum is σ = 164457959178240. Its totient is φ = 9475399139328.

The previous prime is 42074734617697. The next prime is 42074734617847. The reversal of 42074734617720 is 2771643747024.

42074734617720 is a `hidden beast` number, since 4 + 20 + 7 + 4 + 73 + 461 + 77 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 5399038144 + ... + 5399045936.

It is an arithmetic number, because the mean of its divisors is an integer number (214137967680).

Almost surely, 2^{42074734617720} is an apocalyptic number.

42074734617720 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 42074734617720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82228979589120).

42074734617720 is an abundant number, since it is smaller than the sum of its proper divisors (122383224560520).

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

42074734617720 is a wasteful number, since it uses less digits than its factorization.

42074734617720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 42074734617720 in words is "forty-two trillion, seventy-four billion, seven hundred thirty-four million, six hundred seventeen thousand, seven hundred twenty".