1430413000400 has 60 divisors (see below), whose sum is σ = 3638718264492. Its totient is φ = 538508421120.

The previous prime is 1430413000361. The next prime is 1430413000441. The reversal of 1430413000400 is 40003140341.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 185430139456 + 1244982860944 = 430616^2 + 1115788^2 .

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 11 ways as a sum of consecutive naturals, for example, 105170627 + ... + 105184226.

Almost surely, 2^{1430413000400} is an apocalyptic number.

1430413000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430413000400 is an abundant number, since it is smaller than the sum of its proper divisors (2208305264092).

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

1430413000400 is a wasteful number, since it uses less digits than its factorization.

1430413000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210354888 (or 210354877 counting only the distinct ones).

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

Adding to 1430413000400 its reverse (40003140341), we get a palindrome (1470416140741).

The spelling of 1430413000400 in words is "one trillion, four hundred thirty billion, four hundred thirteen million, four hundred", and thus it is an aban number.