10236384090240 has 768 divisors, whose sum is σ = 42416158861440. Its totient is φ = 2075153203200.

The previous prime is 10236384090223. The next prime is 10236384090259. The reversal of 10236384090240 is 4209048363201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10236384090192 and 10236384090201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42309454 + ... + 42550706.

Almost surely, 2^{10236384090240} is an apocalyptic number.

10236384090240 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 10236384090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21208079430720).

10236384090240 is an abundant number, since it is smaller than the sum of its proper divisors (32179774771200).

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

10236384090240 is a wasteful number, since it uses less digits than its factorization.

10236384090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241341 (or 241322 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 10236384090240 in words is "ten trillion, two hundred thirty-six billion, three hundred eighty-four million, ninety thousand, two hundred forty".