42280501896864 has 288 divisors, whose sum is σ = 156421147244544. Its totient is φ = 10504472394240.

The previous prime is 42280501896781. The next prime is 42280501896911. The reversal of 42280501896864 is 46869810508224.

42280501896864 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 0 + 501 + 8 + 9 + 68 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 40937524 + ... + 41957619.

It is an arithmetic number, because the mean of its divisors is an integer number (543128983488).

Almost surely, 2^{42280501896864} is an apocalyptic number.

42280501896864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42280501896864 is an abundant number, since it is smaller than the sum of its proper divisors (114140645347680).

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

42280501896864 is a wasteful number, since it uses less digits than its factorization.

42280501896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82895200 (or 82895189 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 42280501896864 in words is "forty-two trillion, two hundred eighty billion, five hundred one million, eight hundred ninety-six thousand, eight hundred sixty-four".