11450300400 has 960 divisors, whose sum is σ = 52032384000. Its totient is φ = 2370816000.

The previous prime is 11450300387. The next prime is 11450300413. The reversal of 11450300400 is 400305411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11450300387) and next prime (11450300413).

It is a super-3 number, since 3×11450300400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40748260 + ... + 40748540.

It is an arithmetic number, because the mean of its divisors is an integer number (54200400).

Almost surely, 2^11450300400 is an apocalyptic number.

11450300400 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 11450300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016192000).

11450300400 is an abundant number, since it is smaller than the sum of its proper divisors (40582083600).

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

11450300400 is a wasteful number, since it uses less digits than its factorization.

11450300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11450300400 its reverse (400305411), we get a palindrome (11850605811).

The spelling of 11450300400 in words is "eleven billion, four hundred fifty million, three hundred thousand, four hundred".