10386254340000 has 1440 divisors, whose sum is σ = 46124010092160. Its totient is φ = 2153088000000.

The previous prime is 10386254339987. The next prime is 10386254340001. The reversal of 10386254340000 is 4345268301.

10386254340000 is a `hidden beast` number, since 10 + 3 + 8 + 62 + 543 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10386254340001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9715859466 + ... + 9715860534.

It is an arithmetic number, because the mean of its divisors is an integer number (32030562564).

Almost surely, 2^{10386254340000} is an apocalyptic number.

10386254340000 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 10386254340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23062005046080).

10386254340000 is an abundant number, since it is smaller than the sum of its proper divisors (35737755752160).

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

10386254340000 is a wasteful number, since it uses less digits than its factorization.

10386254340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10386254340000 in words is "ten trillion, three hundred eighty-six billion, two hundred fifty-four million, three hundred forty thousand".