10202041400 has 48 divisors (see below), whose sum is σ = 23727610800. Its totient is φ = 4079463680.

The previous prime is 10202041361. The next prime is 10202041403. The reversal of 10202041400 is 414020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202041403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 779309 + ... + 792291.

It is an arithmetic number, because the mean of its divisors is an integer number (494325225).

Almost surely, 2^10202041400 is an apocalyptic number.

10202041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202041400 is an abundant number, since it is smaller than the sum of its proper divisors (13525569400).

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

10202041400 is a wasteful number, since it uses less digits than its factorization.

10202041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928 (or 16919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10202041400 its reverse (414020201), we get a palindrome (10616061601).

The spelling of 10202041400 in words is "ten billion, two hundred two million, forty-one thousand, four hundred".