10411480800 has 648 divisors, whose sum is σ = 44329803336. Its totient is φ = 2377589760.

The previous prime is 10411480769. The next prime is 10411480819. The reversal of 10411480800 is 808411401.

10411480800 is a `hidden beast` number, since 104 + 1 + 1 + 480 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9525054 + ... + 9526146.

Almost surely, 2^10411480800 is an apocalyptic number.

10411480800 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 10411480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22164901668).

10411480800 is an abundant number, since it is smaller than the sum of its proper divisors (33918322536).

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

10411480800 is a wasteful number, since it uses less digits than its factorization.

10411480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

It can be divided in two parts, 1041 and 1480800, that added together give a palindrome (1481841).

The spelling of 10411480800 in words is "ten billion, four hundred eleven million, four hundred eighty thousand, eight hundred".