42887445719040 has 2304 divisors, whose sum is σ = 172347519052800. Its totient is φ = 10102977331200.

The previous prime is 42887445719021. The next prime is 42887445719059. The reversal of 42887445719040 is 4091754478824.

42887445719040 is a `hidden beast` number, since 4 + 2 + 8 + 87 + 445 + 71 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (42887445719021) and next prime (42887445719059).

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 116859524937 + ... + 116859525303.

It is an arithmetic number, because the mean of its divisors is an integer number (74803610700).

Almost surely, 2^{42887445719040} is an apocalyptic number.

42887445719040 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 42887445719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86173759526400).

42887445719040 is an abundant number, since it is smaller than the sum of its proper divisors (129460073333760).

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

42887445719040 is a wasteful number, since it uses less digits than its factorization.

42887445719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 42887445719040 in words is "forty-two trillion, eight hundred eighty-seven billion, four hundred forty-five million, seven hundred nineteen thousand, forty".