10410400000 has 648 divisors, whose sum is σ = 35065130688. Its totient is φ = 2995200000.

The previous prime is 10410399971. The next prime is 10410400003. The reversal of 10410400000 is 401401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10410400000.

It is not an unprimeable number, because it can be changed into a prime (10410400003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 800799994 + ... + 800800006.

It is an arithmetic number, because the mean of its divisors is an integer number (54112856).

Almost surely, 2^10410400000 is an apocalyptic number.

10410400000 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 10410400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532565344).

10410400000 is an abundant number, since it is smaller than the sum of its proper divisors (24654730688).

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

10410400000 is an frugal number, since it uses more digits than its factorization.

10410400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10410400000 its reverse (401401), we get a palindrome (10410801401).

The spelling of 10410400000 in words is "ten billion, four hundred ten million, four hundred thousand".