42363429192000 has 1792 divisors, whose sum is σ = 193015160832000. Its totient is φ = 8877330432000.

The previous prime is 42363429191977. The next prime is 42363429192001. The reversal of 42363429192000 is 29192436324.

42363429192000 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 3 + 429 + 19 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42363429192001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 890544216 + ... + 890591784.

Almost surely, 2^{42363429192000} is an apocalyptic number.

42363429192000 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 42363429192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96507580416000).

42363429192000 is an abundant number, since it is smaller than the sum of its proper divisors (150651731640000).

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

42363429192000 is a wasteful number, since it uses less digits than its factorization.

42363429192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47662 (or 47636 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 42363429192000 in words is "forty-two trillion, three hundred sixty-three billion, four hundred twenty-nine million, one hundred ninety-two thousand".