42334963846560 has 288 divisors, whose sum is σ = 180116028473472. Its totient is φ = 8796875581440.

The previous prime is 42334963846559. The next prime is 42334963846597. The reversal of 42334963846560 is 6564836943324.

42334963846560 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 4 + 9 + 63 + 8 + 4 + 6 + 560 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190793539 + ... + 191015298.

It is an arithmetic number, because the mean of its divisors is an integer number (625402876644).

Almost surely, 2^{42334963846560} is an apocalyptic number.

42334963846560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42334963846560 is an abundant number, since it is smaller than the sum of its proper divisors (137781064626912).

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

42334963846560 is a wasteful number, since it uses less digits than its factorization.

42334963846560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381808876 (or 381808865 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 42334963846560 in words is "forty-two trillion, three hundred thirty-four billion, nine hundred sixty-three million, eight hundred forty-six thousand, five hundred sixty".