10533440510240 has 96 divisors (see below), whose sum is σ = 26032617702000. Its totient is φ = 4022378364928.

The previous prime is 10533440510231. The next prime is 10533440510249. The reversal of 10533440510240 is 4201504433501.

It is an interprime number because it is at equal distance from previous prime (10533440510231) and next prime (10533440510249).

It can be written as a sum of positive squares in 8 ways, for example, as 2964361079824 + 7569079430416 = 1721732^2 + 2751196^2 .

It is a super-2 number, since 2×10533440510240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10533440510197 and 10533440510206.

It is not an unprimeable number, because it can be changed into a prime (10533440510249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12340625 + ... + 13166544.

Almost surely, 2^{10533440510240} is an apocalyptic number.

10533440510240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10533440510240 is an abundant number, since it is smaller than the sum of its proper divisors (15499177191760).

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

10533440510240 is a wasteful number, since it uses less digits than its factorization.

10533440510240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25507302 (or 25507294 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 10533440510240 its reverse (4201504433501), we get a palindrome (14734944943741).

The spelling of 10533440510240 in words is "ten trillion, five hundred thirty-three billion, four hundred forty million, five hundred ten thousand, two hundred forty".