11042354345400 has 288 divisors, whose sum is σ = 42892233471360. Its totient is φ = 2493557233920.

The previous prime is 11042354345383. The next prime is 11042354345401. The reversal of 11042354345400 is 454345324011.

11042354345400 is a `hidden beast` number, since 1 + 1 + 0 + 42 + 35 + 43 + 4 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042354345401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233582 + ... + 6325181.

It is an arithmetic number, because the mean of its divisors is an integer number (148931366220).

Almost surely, 2^{11042354345400} is an apocalyptic number.

11042354345400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11042354345400 is an abundant number, since it is smaller than the sum of its proper divisors (31849879125960).

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

11042354345400 is a wasteful number, since it uses less digits than its factorization.

11042354345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10558875 (or 10558863 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 11042354345400 its reverse (454345324011), we get a palindrome (11496699669411).

The spelling of 11042354345400 in words is "eleven trillion, forty-two billion, three hundred fifty-four million, three hundred forty-five thousand, four hundred".