1430312200400 has 120 divisors (see below), whose sum is σ = 3476488037400. Its totient is φ = 565443788800.

The previous prime is 1430312200393. The next prime is 1430312200441. The reversal of 1430312200400 is 40022130341.

It can be written as a sum of positive squares in 12 ways, for example, as 682024919104 + 748287281296 = 825848^2 + 865036^2 .

It is a super-2 number, since 2×1430312200400² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93299936 + ... + 93315264.

It is an arithmetic number, because the mean of its divisors is an integer number (28970733645).

Almost surely, 2^{1430312200400} is an apocalyptic number.

1430312200400 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 1430312200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738244018700).

1430312200400 is an abundant number, since it is smaller than the sum of its proper divisors (2046175837000).

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

1430312200400 is a wasteful number, since it uses less digits than its factorization.

1430312200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18057 (or 18046 counting only the distinct ones).

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

Adding to 1430312200400 its reverse (40022130341), we get a palindrome (1470334330741).

The spelling of 1430312200400 in words is "one trillion, four hundred thirty billion, three hundred twelve million, two hundred thousand, four hundred".