1000440232000 has 224 divisors, whose sum is σ = 2720761355520. Its totient is φ = 361382400000.

The previous prime is 1000440231971. The next prime is 1000440232013. The reversal of 1000440232000 is 2320440001.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 31 ways as a sum of consecutive naturals, for example, 13250356 + ... + 13325644.

Almost surely, 2^{1000440232000} is an apocalyptic number.

1000440232000 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 1000440232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360380677760).

1000440232000 is an abundant number, since it is smaller than the sum of its proper divisors (1720321123520).

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

1000440232000 is a wasteful number, since it uses less digits than its factorization.

1000440232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75478 (or 75458 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1000440232000 its reverse (2320440001), we get a palindrome (1002760672001).

The spelling of 1000440232000 in words is "one trillion, four hundred forty million, two hundred thirty-two thousand".