1023414431300 has 36 divisors (see below), whose sum is σ = 2351445161940. Its totient is φ = 385285432320.

The previous prime is 1023414431269. The next prime is 1023414431339. The reversal of 1023414431300 is 31344143201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3310391296 + 1020104040004 = 57536^2 + 1010002^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1023414431300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301002545 + ... + 301005944.

It is an arithmetic number, because the mean of its divisors is an integer number (65317921165).

Almost surely, 2^{1023414431300} is an apocalyptic number.

1023414431300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023414431300 is an abundant number, since it is smaller than the sum of its proper divisors (1328030730640).

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

1023414431300 is a wasteful number, since it uses less digits than its factorization.

1023414431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602008520 (or 602008513 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1023414431300 its reverse (31344143201), we get a palindrome (1054758574501).

The spelling of 1023414431300 in words is "one trillion, twenty-three billion, four hundred fourteen million, four hundred thirty-one thousand, three hundred".