42869830348800 has 4680 divisors, whose sum is σ = 208889821061856. Its totient is φ = 8479876055040.

The previous prime is 42869830348799. The next prime is 42869830348883. The reversal of 42869830348800 is 884303896824.

42869830348800 is a `hidden beast` number, since 4 + 286 + 9 + 8 + 3 + 0 + 348 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4680).

It is a super-3 number, since 3×42869830348800³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 166808678272 + ... + 166808678528.

Almost surely, 2^{42869830348800} is an apocalyptic number.

42869830348800 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 42869830348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104444910530928).

42869830348800 is an abundant number, since it is smaller than the sum of its proper divisors (166019990713056).

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

42869830348800 is a wasteful number, since it uses less digits than its factorization.

42869830348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 42869830348800 in words is "forty-two trillion, eight hundred sixty-nine billion, eight hundred thirty million, three hundred forty-eight thousand, eight hundred".