10202400000 has 648 divisors, whose sum is σ = 39959239320. Its totient is φ = 2488320000.

The previous prime is 10202399983. The next prime is 10202400023. The reversal of 10202400000 is 420201.

It can be written as a sum of positive squares in 12 ways, for example, as 10170319104 + 32080896 = 100848^2 + 5664^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93599946 + ... + 93600054.

Almost surely, 2^10202400000 is an apocalyptic number.

10202400000 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 10202400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19979619660).

10202400000 is an abundant number, since it is smaller than the sum of its proper divisors (29756839320).

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

10202400000 is an equidigital number, since it uses as much as digits as its factorization.

10202400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10202400000 its reverse (420201), we get a palindrome (10202820201).

The spelling of 10202400000 in words is "ten billion, two hundred two million, four hundred thousand".