10011334400 has 108 divisors (see below), whose sum is σ = 24970865304. Its totient is φ = 3973632000.

The previous prime is 10011334393. The next prime is 10011334429. The reversal of 10011334400 is 443311001.

It is a congruent number.

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, 832430 + ... + 844370.

Almost surely, 2^10011334400 is an apocalyptic number.

10011334400 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 10011334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485432652).

10011334400 is an abundant number, since it is smaller than the sum of its proper divisors (14959530904).

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

10011334400 is a wasteful number, since it uses less digits than its factorization.

10011334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12098 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10011334400 its reverse (443311001), we get a palindrome (10454645401).

The spelling of 10011334400 in words is "ten billion, eleven million, three hundred thirty-four thousand, four hundred".