10002436400 has 240 divisors, whose sum is σ = 27765365760. Its totient is φ = 3428275200.

The previous prime is 10002436391. The next prime is 10002436427. The reversal of 10002436400 is 463420001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5485889 + ... + 5487711.

It is an arithmetic number, because the mean of its divisors is an integer number (115689024).

Almost surely, 2^10002436400 is an apocalyptic number.

10002436400 is a gapful number since it is divisible by the number (10) 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 10002436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882682880).

10002436400 is an abundant number, since it is smaller than the sum of its proper divisors (17762929360).

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

10002436400 is a wasteful number, since it uses less digits than its factorization.

10002436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1913 counting only the distinct ones).

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

Adding to 10002436400 its reverse (463420001), we get a palindrome (10465856401).

The spelling of 10002436400 in words is "ten billion, two million, four hundred thirty-six thousand, four hundred".