42646821729120 has 576 divisors, whose sum is σ = 170397304197120. Its totient is φ = 9509585670144.

The previous prime is 42646821729101. The next prime is 42646821729133. The reversal of 42646821729120 is 2192712864624.

42646821729120 is a `hidden beast` number, since 4 + 2 + 6 + 468 + 2 + 1 + 72 + 91 + 20 = 666.

42646821729120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359262417 + ... + 359381103.

It is an arithmetic number, because the mean of its divisors is an integer number (295828653120).

Almost surely, 2^{42646821729120} is an apocalyptic number.

42646821729120 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 42646821729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85198652098560).

42646821729120 is an abundant number, since it is smaller than the sum of its proper divisors (127750482468000).

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

42646821729120 is a wasteful number, since it uses less digits than its factorization.

42646821729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119587 (or 119576 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 42646821729120 in words is "forty-two trillion, six hundred forty-six billion, eight hundred twenty-one million, seven hundred twenty-nine thousand, one hundred twenty".