11034365222400 has 960 divisors, whose sum is σ = 41785980401088. Its totient is φ = 2542754856960.

The previous prime is 11034365222393. The next prime is 11034365222449. The reversal of 11034365222400 is 422256343011.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×11034365222400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637871832 + ... + 1637878568.

Almost surely, 2^{11034365222400} is an apocalyptic number.

11034365222400 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 11034365222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20892990200544).

11034365222400 is an abundant number, since it is smaller than the sum of its proper divisors (30751615178688).

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

11034365222400 is a wasteful number, since it uses less digits than its factorization.

11034365222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 11034365222400 in words is "eleven trillion, thirty-four billion, three hundred sixty-five million, two hundred twenty-two thousand, four hundred".