10400410407440 has 40 divisors (see below), whose sum is σ = 24184761605208. Its totient is φ = 4159509125120.

The previous prime is 10400410407437. The next prime is 10400410407469. The reversal of 10400410407440 is 4470401400401.

It can be written as a sum of positive squares in 4 ways, for example, as 258580386064 + 10141830021376 = 508508^2 + 3184624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9723551 + ... + 10740030.

Almost surely, 2^{10400410407440} is an apocalyptic number.

10400410407440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400410407440 is an abundant number, since it is smaller than the sum of its proper divisors (13784351197768).

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

10400410407440 is a wasteful number, since it uses less digits than its factorization.

10400410407440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20469947 (or 20469941 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

Adding to 10400410407440 its reverse (4470401400401), we get a palindrome (14870811807841).

The spelling of 10400410407440 in words is "ten trillion, four hundred billion, four hundred ten million, four hundred seven thousand, four hundred forty".