210142432434000 has 960 divisors, whose sum is σ = 753721587230976. Its totient is φ = 49953024000000.

The previous prime is 210142432433981. The next prime is 210142432434029. The reversal of 210142432434000 is 434234241012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63660232350 + ... + 63660235650.

Almost surely, 2^{210142432434000} is an apocalyptic number.

210142432434000 is a gapful number since it is divisible by the number (20) 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 210142432434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376860793615488).

210142432434000 is an abundant number, since it is smaller than the sum of its proper divisors (543579154796976).

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

210142432434000 is a wasteful number, since it uses less digits than its factorization.

210142432434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 210142432434000 its reverse (434234241012), we get a palindrome (210576666675012).

The spelling of 210142432434000 in words is "two hundred ten trillion, one hundred forty-two billion, four hundred thirty-two million, four hundred thirty-four thousand".