10411414024 has 48 divisors (see below), whose sum is σ = 21478848300. Its totient is φ = 4727733120.

The previous prime is 10411414019. The next prime is 10411414049. The reversal of 10411414024 is 42041411401.

It can be written as a sum of positive squares in 2 ways, for example, as 10379941924 + 31472100 = 101882^2 + 5610^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10411413986 and 10411414004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1076442 + ... + 1086070.

Almost surely, 2^10411414024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10411414024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10739424150).

10411414024 is an abundant number, since it is smaller than the sum of its proper divisors (11067434276).

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

10411414024 is a wasteful number, since it uses less digits than its factorization.

10411414024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10411414024 its reverse (42041411401), we get a palindrome (52452825425).

The spelling of 10411414024 in words is "ten billion, four hundred eleven million, four hundred fourteen thousand, twenty-four".