10136440320000 has 260 divisors, whose sum is σ = 33773224577400. Its totient is φ = 2703048704000.

The previous prime is 10136440319969. The next prime is 10136440320001. The reversal of 10136440320000 is 2304463101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10136440320001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7020076 + ... + 8339924.

Almost surely, 2^{10136440320000} is an apocalyptic number.

10136440320000 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 10136440320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16886612288700).

10136440320000 is an abundant number, since it is smaller than the sum of its proper divisors (23636784257400).

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

10136440320000 is an frugal number, since it uses more digits than its factorization.

10136440320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319896 (or 1319859 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10136440320000 its reverse (2304463101), we get a palindrome (10138744783101).

The spelling of 10136440320000 in words is "ten trillion, one hundred thirty-six billion, four hundred forty million, three hundred twenty thousand".