10304211400 has 192 divisors, whose sum is σ = 28549065600. Its totient is φ = 3384944640.

The previous prime is 10304211331. The next prime is 10304211419. The reversal of 10304211400 is 411240301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3469116 + ... + 3472084.

It is an arithmetic number, because the mean of its divisors is an integer number (148693050).

Almost surely, 2^10304211400 is an apocalyptic number.

10304211400 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 10304211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274532800).

10304211400 is an abundant number, since it is smaller than the sum of its proper divisors (18244854200).

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

10304211400 is a wasteful number, since it uses less digits than its factorization.

10304211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10304211400 its reverse (411240301), we get a palindrome (10715451701).

The spelling of 10304211400 in words is "ten billion, three hundred four million, two hundred eleven thousand, four hundred".