42007805763840 has 576 divisors, whose sum is σ = 170753496883200. Its totient is φ = 9579888009216.

The previous prime is 42007805763827. The next prime is 42007805763871. The reversal of 42007805763840 is 4836750870024.

42007805763840 is a `hidden beast` number, since 4 + 20 + 0 + 7 + 8 + 0 + 576 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 106005109 + ... + 106400651.

It is an arithmetic number, because the mean of its divisors is an integer number (296447043200).

Almost surely, 2^{42007805763840} is an apocalyptic number.

42007805763840 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 42007805763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85376748441600).

42007805763840 is an abundant number, since it is smaller than the sum of its proper divisors (128745691119360).

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

42007805763840 is a wasteful number, since it uses less digits than its factorization.

42007805763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396019 (or 395999 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 42007805763840 in words is "forty-two trillion, seven billion, eight hundred five million, seven hundred sixty-three thousand, eight hundred forty".