10286640230400 has 1404 divisors, whose sum is σ = 39041822429064. Its totient is φ = 2687385600000.

The previous prime is 10286640230393. The next prime is 10286640230473. The reversal of 10286640230400 is 403204668201.

10286640230400 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 6 + 640 + 2 + 3 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 40982630275 + ... + 40982630525.

Almost surely, 2^{10286640230400} is an apocalyptic number.

10286640230400 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 10286640230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19520911214532).

10286640230400 is an abundant number, since it is smaller than the sum of its proper divisors (28755182198664).

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

10286640230400 is an frugal number, since it uses more digits than its factorization.

10286640230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 10286640230400 its reverse (403204668201), we get a palindrome (10689844898601).

The spelling of 10286640230400 in words is "ten trillion, two hundred eighty-six billion, six hundred forty million, two hundred thirty thousand, four hundred".