11313416400 has 240 divisors, whose sum is σ = 42577066560. Its totient is φ = 2531635200.

The previous prime is 11313416371. The next prime is 11313416441. The reversal of 11313416400 is 461431311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 138636 + ... + 204564.

It is an arithmetic number, because the mean of its divisors is an integer number (177404444).

Almost surely, 2^11313416400 is an apocalyptic number.

11313416400 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 11313416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288533280).

11313416400 is an abundant number, since it is smaller than the sum of its proper divisors (31263650160).

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

11313416400 is a wasteful number, since it uses less digits than its factorization.

11313416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65974 (or 65963 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11313416400 its reverse (461431311), we get a palindrome (11774847711).

The spelling of 11313416400 in words is "eleven billion, three hundred thirteen million, four hundred sixteen thousand, four hundred".