10410434400 has 144 divisors (see below), whose sum is σ = 35669592000. Its totient is φ = 2629992960.

The previous prime is 10410434393. The next prime is 10410434407. The reversal of 10410434400 is 443401401.

It is an interprime number because it is at equal distance from previous prime (10410434393) and next prime (10410434407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10410434407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68550 + ... + 159749.

It is an arithmetic number, because the mean of its divisors is an integer number (247705500).

Almost surely, 2^10410434400 is an apocalyptic number.

10410434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10410434400 is an abundant number, since it is smaller than the sum of its proper divisors (25259157600).

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

10410434400 is a wasteful number, since it uses less digits than its factorization.

10410434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228341 (or 228328 counting only the distinct ones).

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

Adding to 10410434400 its reverse (443401401), we get a palindrome (10853835801).

The spelling of 10410434400 in words is "ten billion, four hundred ten million, four hundred thirty-four thousand, four hundred".