1000438661460 has 144 divisors (see below), whose sum is σ = 3263174449920. Its totient is φ = 228348691200.

The previous prime is 1000438661437. The next prime is 1000438661489. The reversal of 1000438661460 is 641668340001.

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, 1844485 + ... + 2324435.

It is an arithmetic number, because the mean of its divisors is an integer number (22660933680).

Almost surely, 2^{1000438661460} is an apocalyptic number.

1000438661460 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 1000438661460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631587224960).

1000438661460 is an abundant number, since it is smaller than the sum of its proper divisors (2262735788460).

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

1000438661460 is a wasteful number, since it uses less digits than its factorization.

1000438661460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480686 (or 480677 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1000438661460 in words is "one trillion, four hundred thirty-eight million, six hundred sixty-one thousand, four hundred sixty".