10410266440 has 256 divisors, whose sum is σ = 29652480000. Its totient is φ = 3207029760.

The previous prime is 10410266351. The next prime is 10410266443. The reversal of 10410266440 is 4466201401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10410266399 and 10410266408.

It is not an unprimeable number, because it can be changed into a prime (10410266443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18231355 + ... + 18231925.

It is an arithmetic number, because the mean of its divisors is an integer number (115830000).

Almost surely, 2^10410266440 is an apocalyptic number.

10410266440 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 10410266440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240000).

10410266440 is an abundant number, since it is smaller than the sum of its proper divisors (19242213560).

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

10410266440 is a wasteful number, since it uses less digits than its factorization.

10410266440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10410266440 its reverse (4466201401), we get a palindrome (14876467841).

The spelling of 10410266440 in words is "ten billion, four hundred ten million, two hundred sixty-six thousand, four hundred forty".