1000240334000 has 320 divisors, whose sum is σ = 2557122048000. Its totient is φ = 377854131200.

The previous prime is 1000240333973. The next prime is 1000240334039. The reversal of 1000240334000 is 4330420001.

It is a self number, because there is not a number n which added to its sum of digits gives 1000240334000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 817857389 + ... + 817858611.

It is an arithmetic number, because the mean of its divisors is an integer number (7991006400).

Almost surely, 2^{1000240334000} is an apocalyptic number.

1000240334000 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 1000240334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278561024000).

1000240334000 is an abundant number, since it is smaller than the sum of its proper divisors (1556881714000).

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

1000240334000 is a wasteful number, since it uses less digits than its factorization.

1000240334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 1000240334000 its reverse (4330420001), we get a palindrome (1004570754001).

The spelling of 1000240334000 in words is "one trillion, two hundred forty million, three hundred thirty-four thousand".