42102202464000 has 1152 divisors, whose sum is σ = 177721018675200. Its totient is φ = 9615598387200.

The previous prime is 42102202463957. The next prime is 42102202464037. The reversal of 42102202464000 is 46420220124.

42102202464000 is a `hidden beast` number, since 4 + 2 + 10 + 2 + 2 + 0 + 2 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11170654116 + ... + 11170657884.

It is an arithmetic number, because the mean of its divisors is an integer number (154271717600).

Almost surely, 2^{42102202464000} is an apocalyptic number.

42102202464000 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 42102202464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88860509337600).

42102202464000 is an abundant number, since it is smaller than the sum of its proper divisors (135618816211200).

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

42102202464000 is a wasteful number, since it uses less digits than its factorization.

42102202464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42102202464000 its reverse (46420220124), we get a palindrome (42148622684124).

The spelling of 42102202464000 in words is "forty-two trillion, one hundred two billion, two hundred two million, four hundred sixty-four thousand".