10405537340 has 96 divisors (see below), whose sum is σ = 25150003200. Its totient is φ = 3576510720.

The previous prime is 10405537339. The next prime is 10405537349. The reversal of 10405537340 is 4373550401.

It is a junction number, because it is equal to n+sod(n) for n = 10405537297 and 10405537306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405537349) 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 31 ways as a sum of consecutive naturals, for example, 1999622 + ... + 2004818.

It is an arithmetic number, because the mean of its divisors is an integer number (261979200).

Almost surely, 2^10405537340 is an apocalyptic number.

10405537340 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 10405537340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12575001600).

10405537340 is an abundant number, since it is smaller than the sum of its proper divisors (14744465860).

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

10405537340 is a wasteful number, since it uses less digits than its factorization.

10405537340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

It can be divided in two parts, 10405 and 537340, that added together give a palindrome (547745).

The spelling of 10405537340 in words is "ten billion, four hundred five million, five hundred thirty-seven thousand, three hundred forty".