10411126440 has 256 divisors, whose sum is σ = 37960876800. Its totient is φ = 2249318400.

The previous prime is 10411126403. The next prime is 10411126447. The reversal of 10411126440 is 4462111401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10411126440.

It is not an unprimeable number, because it can be changed into a prime (10411126447) 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, 487180 + ... + 508100.

It is an arithmetic number, because the mean of its divisors is an integer number (148284675).

Almost surely, 2^10411126440 is an apocalyptic number.

10411126440 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 10411126440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18980438400).

10411126440 is an abundant number, since it is smaller than the sum of its proper divisors (27549750360).

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

10411126440 is a wasteful number, since it uses less digits than its factorization.

10411126440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20988 (or 20984 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10411126440 its reverse (4462111401), we get a palindrome (14873237841).

The spelling of 10411126440 in words is "ten billion, four hundred eleven million, one hundred twenty-six thousand, four hundred forty".