1000314030400 has 42 divisors (see below), whose sum is σ = 2461397714990. Its totient is φ = 400125611520.

The previous prime is 1000314030377. The next prime is 1000314030407. The reversal of 1000314030400 is 40304130001.

It can be written as a sum of positive squares in 3 ways, for example, as 306198435904 + 694115594496 = 553352^2 + 833136^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000314030407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 312596535 + ... + 312599734.

Almost surely, 2^{1000314030400} is an apocalyptic number.

1000314030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000314030400 is an abundant number, since it is smaller than the sum of its proper divisors (1461083684590).

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

1000314030400 is an equidigital number, since it uses as much as digits as its factorization.

1000314030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625196291 (or 625196276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1000314030400 its reverse (40304130001), we get a palindrome (1040618160401).

The spelling of 1000314030400 in words is "one trillion, three hundred fourteen million, thirty thousand, four hundred".