1000313224400 has 360 divisors, whose sum is σ = 2821782816216. Its totient is φ = 339771801600.

The previous prime is 1000313224381. The next prime is 1000313224433. The reversal of 1000313224400 is 44223130001.

1000313224400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 687559372864 + 312753851536 = 829192^2 + 559244^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1621252892 + ... + 1621253508.

Almost surely, 2^{1000313224400} is an apocalyptic number.

1000313224400 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 1000313224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410891408108).

1000313224400 is an abundant number, since it is smaller than the sum of its proper divisors (1821469591816).

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

1000313224400 is a wasteful number, since it uses less digits than its factorization.

1000313224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1000313224400 its reverse (44223130001), we get a palindrome (1044536354401).

The spelling of 1000313224400 in words is "one trillion, three hundred thirteen million, two hundred twenty-four thousand, four hundred".