10202434143400 has 48 divisors (see below), whose sum is σ = 24122704485600. Its totient is φ = 4011804607680.

The previous prime is 10202434143383. The next prime is 10202434143401. The reversal of 10202434143400 is 434143420201.

It is not an unprimeable number, because it can be changed into a prime (10202434143401) 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 11 ways as a sum of consecutive naturals, for example, 432294732 + ... + 432318331.

It is an arithmetic number, because the mean of its divisors is an integer number (502556343450).

Almost surely, 2^{10202434143400} is an apocalyptic number.

10202434143400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202434143400 is an abundant number, since it is smaller than the sum of its proper divisors (13920270342200).

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

10202434143400 is a wasteful number, since it uses less digits than its factorization.

10202434143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864613138 (or 864613129 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10202434143400 its reverse (434143420201), we get a palindrome (10636577563601).

The spelling of 10202434143400 in words is "ten trillion, two hundred two billion, four hundred thirty-four million, one hundred forty-three thousand, four hundred".