10412400340 has 24 divisors (see below), whose sum is σ = 21869166312. Its totient is φ = 4164364800.

The previous prime is 10412400337. The next prime is 10412400343. The reversal of 10412400340 is 4300421401.

It is an interprime number because it is at equal distance from previous prime (10412400337) and next prime (10412400343).

It can be written as a sum of positive squares in 4 ways, for example, as 128006596 + 10284393744 = 11314^2 + 101412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412400343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123040 + ... + 189640.

It is an arithmetic number, because the mean of its divisors is an integer number (911215263).

Almost surely, 2^10412400340 is an apocalyptic number.

10412400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412400340 is an abundant number, since it is smaller than the sum of its proper divisors (11456765972).

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

10412400340 is a wasteful number, since it uses less digits than its factorization.

10412400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74427 (or 74425 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10412400340 its reverse (4300421401), we get a palindrome (14712821741).

The spelling of 10412400340 in words is "ten billion, four hundred twelve million, four hundred thousand, three hundred forty".