42663192000 has 896 divisors, whose sum is σ = 171266973696. Its totient is φ = 9216000000.

The previous prime is 42663191957. The next prime is 42663192007. The reversal of 42663192000 is 29136624.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42663192007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 106391800 + ... + 106392200.

It is an arithmetic number, because the mean of its divisors is an integer number (191146176).

Almost surely, 2^42663192000 is an apocalyptic number.

42663192000 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 42663192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85633486848).

42663192000 is an abundant number, since it is smaller than the sum of its proper divisors (128603781696).

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

42663192000 is a wasteful number, since it uses less digits than its factorization.

42663192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 42663192000 in words is "forty-two billion, six hundred sixty-three million, one hundred ninety-two thousand".