10400340441 has 64 divisors (see below), whose sum is σ = 15515136000. Its totient is φ = 6170411520.

The previous prime is 10400340413. The next prime is 10400340449. The reversal of 10400340441 is 14404300401.

It is not a de Polignac number, because 10400340441 - 2⁵ = 10400340409 is a prime.

It is a super-3 number, since 3×10400340441³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10400340449) 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 63 ways as a sum of consecutive naturals, for example, 9532306 + ... + 9533396.

It is an arithmetic number, because the mean of its divisors is an integer number (242424000).

Almost surely, 2^10400340441 is an apocalyptic number.

It is an amenable number.

10400340441 is a deficient number, since it is larger than the sum of its proper divisors (5114795559).

10400340441 is a wasteful number, since it uses less digits than its factorization.

10400340441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10400340441 its reverse (14404300401), we get a palindrome (24804640842).

The spelling of 10400340441 in words is "ten billion, four hundred million, three hundred forty thousand, four hundred forty-one".