1010303424000 has 480 divisors, whose sum is σ = 3918869738784. Its totient is φ = 248688230400.

The previous prime is 1010303423977. The next prime is 1010303424019. The reversal of 1010303424000 is 4243030101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1010303424000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7420539 + ... + 7555461.

Almost surely, 2^{1010303424000} is an apocalyptic number.

1010303424000 is a gapful number since it is divisible by the number (10) 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 1010303424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959434869392).

1010303424000 is an abundant number, since it is smaller than the sum of its proper divisors (2908566314784).

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

1010303424000 is a wasteful number, since it uses less digits than its factorization.

1010303424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134975 (or 134946 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1010303424000 its reverse (4243030101), we get a palindrome (1014546454101).

The spelling of 1010303424000 in words is "one trillion, ten billion, three hundred three million, four hundred twenty-four thousand".