42666375870720 has 1440 divisors, whose sum is σ = 181409518515456. Its totient is φ = 9372008448000.

The previous prime is 42666375870719. The next prime is 42666375870737. The reversal of 42666375870720 is 2707857366624.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 1993652020 + ... + 1993673420.

Almost surely, 2^{42666375870720} is an apocalyptic number.

42666375870720 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 42666375870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90704759257728).

42666375870720 is an abundant number, since it is smaller than the sum of its proper divisors (138743142644736).

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

42666375870720 is a wasteful number, since it uses less digits than its factorization.

42666375870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21549 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 42666375870720 in words is "forty-two trillion, six hundred sixty-six billion, three hundred seventy-five million, eight hundred seventy thousand, seven hundred twenty".