1000314631680 has 960 divisors, whose sum is σ = 4062464860608. Its totient is φ = 208089907200.

The previous prime is 1000314631663. The next prime is 1000314631759. The reversal of 1000314631680 is 861364130001.

1000314631680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357126280 + ... + 357129080.

Almost surely, 2^{1000314631680} is an apocalyptic number.

1000314631680 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 1000314631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031232430304).

1000314631680 is an abundant number, since it is smaller than the sum of its proper divisors (3062150228928).

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

1000314631680 is a wasteful number, since it uses less digits than its factorization.

1000314631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 1000314631680 its reverse (861364130001), we get a palindrome (1861678761681).

The spelling of 1000314631680 in words is "one trillion, three hundred fourteen million, six hundred thirty-one thousand, six hundred eighty".