11228317500400 has 1440 divisors, whose sum is σ = 37776631140864. Its totient is φ = 3118832640000.

The previous prime is 11228317500391. The next prime is 11228317500451. The reversal of 11228317500400 is 400571382211.

It is a super-2 number, since 2×11228317500400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19128308907 + ... + 19128309493.

Almost surely, 2^{11228317500400} is an apocalyptic number.

11228317500400 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 11228317500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18888315570432).

11228317500400 is an abundant number, since it is smaller than the sum of its proper divisors (26548313640464).

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

11228317500400 is a wasteful number, since it uses less digits than its factorization.

11228317500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

Adding to 11228317500400 its reverse (400571382211), we get a palindrome (11628888882611).

The spelling of 11228317500400 in words is "eleven trillion, two hundred twenty-eight billion, three hundred seventeen million, five hundred thousand, four hundred".