431433142030400 has 336 divisors, whose sum is σ = 1110912778170000. Its totient is φ = 164695179264000.

The previous prime is 431433142030391. The next prime is 431433142030409. The reversal of 431433142030400 is 4030241334134.

It is an interprime number because it is at equal distance from previous prime (431433142030391) and next prime (431433142030409).

It can be written as a sum of positive squares in 24 ways, for example, as 315498306601984 + 115934835428416 = 17762272^2 + 10767304^2 .

It is a super-2 number, since 2×431433142030400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (431433142030409) 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 47 ways as a sum of consecutive naturals, for example, 13631793776 + ... + 13631825424.

Almost surely, 2^{431433142030400} is an apocalyptic number.

431433142030400 is a gapful number since it is divisible by the number (40) 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 431433142030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555456389085000).

431433142030400 is an abundant number, since it is smaller than the sum of its proper divisors (679479636139600).

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

431433142030400 is a wasteful number, since it uses less digits than its factorization.

431433142030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35090 (or 35075 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 431433142030400 its reverse (4030241334134), we get a palindrome (435463383364534).

The spelling of 431433142030400 in words is "four hundred thirty-one trillion, four hundred thirty-three billion, one hundred forty-two million, thirty thousand, four hundred".