42966977948160 has 640 divisors, whose sum is σ = 158548252262400. Its totient is φ = 9723239792640.

The previous prime is 42966977948107. The next prime is 42966977948203. The reversal of 42966977948160 is 6184977966924.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×42966977948160² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10963758681 + ... + 10963762599.

It is an arithmetic number, because the mean of its divisors is an integer number (247731644160).

Almost surely, 2^{42966977948160} is an apocalyptic number.

42966977948160 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 42966977948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79274126131200).

42966977948160 is an abundant number, since it is smaller than the sum of its proper divisors (115581274314240).

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

42966977948160 is a wasteful number, since it uses less digits than its factorization.

42966977948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 78.

The spelling of 42966977948160 in words is "forty-two trillion, nine hundred sixty-six billion, nine hundred seventy-seven million, nine hundred forty-eight thousand, one hundred sixty".