11073449930400 has 3024 divisors, whose sum is σ = 49975524299232. Its totient is φ = 2360793600000.

The previous prime is 11073449930359. The next prime is 11073449930429. The reversal of 11073449930400 is 403994437011.

11073449930400 is a `hidden beast` number, since 1 + 10 + 73 + 449 + 93 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×11073449930400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 44117330275 + ... + 44117330525.

It is an arithmetic number, because the mean of its divisors is an integer number (16526297718).

Almost surely, 2^{11073449930400} is an apocalyptic number.

11073449930400 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 11073449930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987762149616).

11073449930400 is an abundant number, since it is smaller than the sum of its proper divisors (38902074368832).

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

11073449930400 is a wasteful number, since it uses less digits than its factorization.

11073449930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 11073449930400 in words is "eleven trillion, seventy-three billion, four hundred forty-nine million, nine hundred thirty thousand, four hundred".