10010411400 has 192 divisors, whose sum is σ = 35021419200. Its totient is φ = 2343040000.

The previous prime is 10010411363. The next prime is 10010411441. The reversal of 10010411400 is 411401001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165250 + ... + 217550.

It is an arithmetic number, because the mean of its divisors is an integer number (182403225).

Almost surely, 2^10010411400 is an apocalyptic number.

10010411400 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 10010411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510709600).

10010411400 is an abundant number, since it is smaller than the sum of its proper divisors (25011007800).

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

10010411400 is a wasteful number, since it uses less digits than its factorization.

10010411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52360 (or 52351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010411400 its reverse (411401001), we get a palindrome (10421812401).

The spelling of 10010411400 in words is "ten billion, ten million, four hundred eleven thousand, four hundred".