10460240363232 has 432 divisors, whose sum is σ = 33123153982464. Its totient is φ = 3105305280000.

The previous prime is 10460240363197. The next prime is 10460240363239. The reversal of 10460240363232 is 23236304206401.

10460240363232 is a `hidden beast` number, since 1 + 0 + 4 + 60 + 2 + 4 + 0 + 363 + 232 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10460240363239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2716238107 + ... + 2716241957.

It is an arithmetic number, because the mean of its divisors is an integer number (76673967552).

Almost surely, 2^{10460240363232} is an apocalyptic number.

10460240363232 is a gapful number since it is divisible by the number (12) 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 10460240363232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561576991232).

10460240363232 is an abundant number, since it is smaller than the sum of its proper divisors (22662913619232).

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

10460240363232 is a wasteful number, since it uses less digits than its factorization.

10460240363232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 10460240363232 its reverse (23236304206401), we get a palindrome (33696544569633).

The spelling of 10460240363232 in words is "ten trillion, four hundred sixty billion, two hundred forty million, three hundred sixty-three thousand, two hundred thirty-two".