42468505645800 has 192 divisors, whose sum is σ = 141783315912000. Its totient is φ = 10453502638080.

The previous prime is 42468505645799. The next prime is 42468505645817. The reversal of 42468505645800 is 854650586424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568262836 + ... + 568337564.

It is an arithmetic number, because the mean of its divisors is an integer number (738454770375).

Almost surely, 2^{42468505645800} is an apocalyptic number.

42468505645800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42468505645800 is an abundant number, since it is smaller than the sum of its proper divisors (99314810266200).

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

42468505645800 is a wasteful number, since it uses less digits than its factorization.

42468505645800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147620 (or 147611 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 57.

The spelling of 42468505645800 in words is "forty-two trillion, four hundred sixty-eight billion, five hundred five million, six hundred forty-five thousand, eight hundred".