10011434400 has 432 divisors, whose sum is σ = 40545217440. Its totient is φ = 2298931200.

The previous prime is 10011434393. The next prime is 10011434431. The reversal of 10011434400 is 443411001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1501474 + ... + 1508126.

It is an arithmetic number, because the mean of its divisors is an integer number (93854670).

Almost surely, 2^10011434400 is an apocalyptic number.

10011434400 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 10011434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272608720).

10011434400 is an abundant number, since it is smaller than the sum of its proper divisors (30533783040).

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

10011434400 is a wasteful number, since it uses less digits than its factorization.

10011434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10011434400 its reverse (443411001), we get a palindrome (10454845401).

The spelling of 10011434400 in words is "ten billion, eleven million, four hundred thirty-four thousand, four hundred".