10540323451040 has 96 divisors (see below), whose sum is σ = 25246787844096. Its totient is φ = 4157689374720.

The previous prime is 10540323451037. The next prime is 10540323451081. The reversal of 10540323451040 is 4015432304501.

It is a super-2 number, since 2×10540323451040² (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 = 10540323450988 and 10540323451006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74015105 + ... + 74157375.

It is an arithmetic number, because the mean of its divisors is an integer number (262987373376).

Almost surely, 2^{10540323451040} is an apocalyptic number.

10540323451040 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 10540323451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12623393922048).

10540323451040 is an abundant number, since it is smaller than the sum of its proper divisors (14706464393056).

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

10540323451040 is a wasteful number, since it uses less digits than its factorization.

10540323451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148702 (or 148694 counting only the distinct ones).

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

Adding to 10540323451040 its reverse (4015432304501), we get a palindrome (14555755755541).

The spelling of 10540323451040 in words is "ten trillion, five hundred forty billion, three hundred twenty-three million, four hundred fifty-one thousand, forty".